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148627151960 = 23579710154181
BaseRepresentation
bin1000101001101011011…
…1100101110001011000
3112012122002012121101212
42022122313211301120
54413342022330320
6152140043402252
713511055642560
oct2123267456130
9465562177355
10148627151960
115803a1750a1
122497ab23388
1311028019541
14729d309da0
153ced2ee9c5
hex229ade5c58

148627151960 has 128 divisors (see below), whose sum is σ = 389954355840. Its totient is φ = 49932288000.

The previous prime is 148627151947. The next prime is 148627151971. The reversal of 148627151960 is 69151726841.

148627151960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 148627151899 and 148627151908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2716070 + ... + 2770250.

It is an arithmetic number, because the mean of its divisors is an integer number (3046518405).

Almost surely, 2148627151960 is an apocalyptic number.

148627151960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148627151960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194977177920).

148627151960 is an abundant number, since it is smaller than the sum of its proper divisors (241327203880).

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

148627151960 is a wasteful number, since it uses less digits than its factorization.

148627151960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54397 (or 54393 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 148627151960 in words is "one hundred forty-eight billion, six hundred twenty-seven million, one hundred fifty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 101 140 194 202 280 388 404 485 505 679 707 776 808 970 1010 1358 1414 1940 2020 2716 2828 3395 3535 3880 4040 5432 5656 6790 7070 9797 13580 14140 19594 27160 28280 39188 48985 54181 68579 78376 97970 108362 137158 195940 216724 270905 274316 342895 379267 391880 433448 541810 548632 685790 758534 1083620 1371580 1517068 1896335 2167240 2743160 3034136 3792670 5255557 5472281 7585340 10511114 10944562 15170680 21022228 21889124 26277785 27361405 36788899 38305967 42044456 43778248 52555570 54722810 73577798 76611934 105111140 109445620 147155596 153223868 183944495 191529835 210222280 218891240 294311192 306447736 367888990 383059670 530811257 735777980 766119340 1061622514 1471555960 1532238680 2123245028 2654056285 3715678799 4246490056 5308112570 7431357598 10616225140 14862715196 18578393995 21232450280 29725430392 37156787990 74313575980 148627151960