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159857016102 = 23372637612113
BaseRepresentation
bin1001010011100000111…
…0000111110100100110
3120021121201011210222000
42110320032013310212
510104341344003402
6201234242350130
714356256134350
oct2247016076446
9507551153860
10159857016102
1161882133253
1226b9395b346
13120c7756374
147a469340d0
154259146c1c
hex2538387d26

159857016102 has 128 divisors (see below), whose sum is σ = 408258385920. Its totient is φ = 45418475520.

The previous prime is 159857016049. The next prime is 159857016131. The reversal of 159857016102 is 201610758951.

159857016102 is a `hidden beast` number, since 1 + 59 + 8 + 570 + 16 + 10 + 2 = 666.

159857016102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75652998 + ... + 75655110.

It is an arithmetic number, because the mean of its divisors is an integer number (3189518640).

Almost surely, 2159857016102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159857016102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204129192960).

159857016102 is an abundant number, since it is smaller than the sum of its proper divisors (248401369818).

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

159857016102 is a wasteful number, since it uses less digits than its factorization.

159857016102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 159857016102 in words is "one hundred fifty-nine billion, eight hundred fifty-seven million, sixteen thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 263 378 526 761 789 1522 1578 1841 2113 2283 2367 3682 4226 4566 4734 5327 5523 6339 6849 7101 10654 11046 12678 13698 14202 14791 15981 16569 19017 20547 29582 31962 33138 38034 41094 44373 47943 49707 57051 88746 95886 99414 114102 133119 143829 200143 266238 287658 399357 400286 555719 600429 798714 1111438 1200858 1401001 1607993 1667157 1801287 2802002 3215986 3334314 3602574 3890033 4203003 4823979 5001471 5403861 7780066 8406006 9647958 10002942 10807722 11255951 11670099 12609009 14471937 15004413 22511902 23340198 25218018 28943874 30008826 33767853 35010297 37827027 43415811 67535706 70020594 75654054 86831622 101303559 105030891 202607118 210061782 303910677 422902159 607821354 845804318 1268706477 2537412954 2960315113 3806119431 5920630226 7612238862 8880945339 11418358293 17761890678 22836716586 26642836017 53285672034 79928508051 159857016102