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148686273378270 = 2345661689940253
BaseRepresentation
bin100001110011101010111000…
…100000011111011111011110
3201111110021021001001201010000
4201303222320200133133132
5123442033441441101040
61244121310411155130
743214141314544445
oct4163527040373736
9644407231051100
10148686273378270
1143415549095aa1
1214814490145aa6
1364c709499c2c4
1428a064dbdbd5c
15122ca103c7130
hex873ab881f7de

148686273378270 has 160 divisors (see below), whose sum is σ = 400473697773600. Its totient is φ = 39582966677760.

The previous prime is 148686273378259. The next prime is 148686273378271. The reversal of 148686273378270 is 72873372686841.

148686273378270 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 86 + 273 + 3 + 7 + 8 + 270 = 666.

It is a super-2 number, since 2×1486862733782702 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148686273378271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3693773464 + ... + 3693813716.

It is an arithmetic number, because the mean of its divisors is an integer number (2502960611085).

Almost surely, 2148686273378270 is an apocalyptic number.

148686273378270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148686273378270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200236848886800).

148686273378270 is an abundant number, since it is smaller than the sum of its proper divisors (251787424395330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148686273378270 is a wasteful number, since it uses less digits than its factorization.

148686273378270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47832 (or 47823 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 148686273378270 in words is "one hundred forty-eight trillion, six hundred eighty-six billion, two hundred seventy-three million, three hundred seventy-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 661 810 1322 1983 3305 3966 5949 6610 6899 9915 11898 13798 17847 19830 20697 29745 34495 35694 40253 41394 53541 59490 62091 68990 80506 89235 103485 107082 120759 124182 178470 186273 201265 206970 241518 267705 310455 362277 372546 402530 535410 558819 603795 620910 724554 931365 1086831 1117638 1207590 1811385 1862730 2173662 2794095 3260493 3622770 4560239 5434155 5588190 6520986 9120478 10868310 13680717 16302465 22801195 26607233 27361434 32604930 41042151 45602390 53214466 68403585 79821699 82084302 123126453 133036165 136807170 159643398 205210755 239465097 246252906 266072330 277705447 369379359 399108495 410421510 478930194 555410894 615632265 718395291 738758718 798216990 833116341 1197325485 1231264530 1388527235 1436790582 1666232682 1846896795 2155185873 2394650970 2499349023 2777054470 3591976455 3693793590 4165581705 4310371746 4998698046 7183952910 7498047069 8331163410 10775929365 12496745115 14996094138 21551858730 22494141207 24993490230 37490235345 44988282414 74980470690 112470706035 183563300467 224941412070 367126600934 550689901401 917816502335 1101379802802 1652069704203 1835633004670 2753449507005 3304139408406 4956209112609 5506899014010 8260348521015 9912418225218 14868627337827 16520697042030 24781045563045 29737254675654 49562091126090 74343136689135 148686273378270