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157270162272 = 25317599160879
BaseRepresentation
bin1001001001111000001…
…0000011101101100000
3120000221102120000121220
42102132002003231200
510034042130143042
6200125433215040
714235205215426
oct2223602035540
9500842500556
10157270162272
11607749a7723
1226591561480
1311aa4837022
14787d155116
154156eb18ec
hex249e083b60

157270162272 has 96 divisors (see below), whose sum is σ = 437851008000. Its totient is φ = 49256982528.

The previous prime is 157270162253. The next prime is 157270162369. The reversal of 157270162272 is 272261072751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1572701622722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897129 + ... + 1058007.

It is an arithmetic number, because the mean of its divisors is an integer number (4560948000).

Almost surely, 2157270162272 is an apocalyptic number.

157270162272 is a gapful number since it is divisible by the number (12) 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 157270162272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218925504000).

157270162272 is an abundant number, since it is smaller than the sum of its proper divisors (280580845728).

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

157270162272 is a wasteful number, since it uses less digits than its factorization.

157270162272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161508 (or 161500 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 157270162272 in words is "one hundred fifty-seven billion, two hundred seventy million, one hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 599 816 1198 1632 1797 2396 3594 4792 7188 9584 10183 14376 19168 20366 28752 30549 40732 57504 61098 81464 122196 160879 162928 244392 321758 325856 482637 488784 643516 965274 977568 1287032 1930548 2574064 2734943 3861096 5148128 5469886 7722192 8204829 10939772 15444384 16409658 21879544 32819316 43759088 65638632 87518176 96366521 131277264 192733042 262554528 289099563 385466084 578199126 770932168 1156398252 1541864336 1638230857 2312796504 3083728672 3276461714 4625593008 4914692571 6552923428 9251186016 9829385142 13105846856 19658770284 26211693712 39317540568 52423387424 78635081136 157270162272