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154201053096 = 233253271149111
BaseRepresentation
bin1000111110011100011…
…0010101011110101000
3112202000112111010022200
42033213012111132220
510011300432144341
6154501115420200
714066150216316
oct2174706253650
9482015433280
10154201053096
115a43a524562
1225a75754660
1311705a365ac
14766b6bd0b6
15402781adb6
hex23e71957a8

154201053096 has 96 divisors (see below), whose sum is σ = 427080625920. Its totient is φ = 50244105600.

The previous prime is 154201053037. The next prime is 154201053101. The reversal of 154201053096 is 690350102451.

154201053096 is a `hidden beast` number, since 1 + 5 + 4 + 20 + 10 + 530 + 96 = 666.

It is a super-2 number, since 2×1542010530962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 154201053096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959581 + ... + 1108691.

It is an arithmetic number, because the mean of its divisors is an integer number (4448756520).

Almost surely, 2154201053096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154201053096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213540312960).

154201053096 is an abundant number, since it is smaller than the sum of its proper divisors (272879572824).

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

154201053096 is a wasteful number, since it uses less digits than its factorization.

154201053096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149447 (or 149440 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 154201053096 in words is "one hundred fifty-four billion, two hundred one million, fifty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 271 318 424 477 542 636 813 954 1084 1272 1626 1908 2168 2439 3252 3816 4878 6504 9756 14363 19512 28726 43089 57452 86178 114904 129267 149111 172356 258534 298222 344712 447333 517068 596444 894666 1034136 1192888 1341999 1789332 2683998 3578664 5367996 7902883 10735992 15805766 23708649 31611532 40409081 47417298 63223064 71125947 80818162 94834596 121227243 142251894 161636324 189669192 242454486 284503788 323272648 363681729 484908972 569007576 727363458 969817944 1454726916 2141681293 2909453832 4283362586 6425043879 8566725172 12850087758 17133450344 19275131637 25700175516 38550263274 51400351032 77100526548 154201053096