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10157409272 = 23191036431009
BaseRepresentation
bin10010111010110110…
…11100001111111000
3222012212221212001102
421131123130033320
5131300244044042
64355524310532
7506465361053
oct113533341770
928185855042
1010157409272
114342657a1a
121b75842448
13c5b4b195a
146c5019a9a
153e6b02b32
hex25d6dc3f8

10157409272 has 64 divisors (see below), whose sum is σ = 20293728000. Its totient is φ = 4752566784.

The previous prime is 10157409263. The next prime is 10157409299. The reversal of 10157409272 is 27290475101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 10066304 + ... + 10067312.

It is an arithmetic number, because the mean of its divisors is an integer number (317089500).

Almost surely, 210157409272 is an apocalyptic number.

It is an amenable number.

10157409272 is a deficient number, since it is larger than the sum of its proper divisors (10136318728).

10157409272 is a wasteful number, since it uses less digits than its factorization.

10157409272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 10157409272 in words is "ten billion, one hundred fifty-seven million, four hundred nine thousand, two hundred seventy-two".

Divisors: 1 2 4 8 19 38 76 103 152 206 412 643 824 1009 1286 1957 2018 2572 3914 4036 5144 7828 8072 12217 15656 19171 24434 38342 48868 66229 76684 97736 103927 132458 153368 207854 264916 415708 529832 648787 831416 1258351 1297574 1974613 2516702 2595148 3949226 5033404 5190296 7898452 10066808 12326953 15796904 24653906 49307812 66825061 98615624 133650122 267300244 534600488 1269676159 2539352318 5078704636 10157409272