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10157607144 = 233347025959
BaseRepresentation
bin10010111010111000…
…01100100011101000
3222012220022220111000
421131130030203220
5131300321412034
64355532435000
7506500143666
oct113534144350
928186286430
1010157607144
114342782653
121b75918a60
13c5b550a39
146c506bc36
153e6b41599
hex25d70c8e8

10157607144 has 32 divisors (see below), whose sum is σ = 28215576000. Its totient is φ = 3385868976.

The previous prime is 10157607133. The next prime is 10157607149. The reversal of 10157607144 is 44170675101.

10157607144 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 7 + 607 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10157607099 and 10157607108.

It is not an unprimeable number, because it can be changed into a prime (10157607149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23512764 + ... + 23513195.

It is an arithmetic number, because the mean of its divisors is an integer number (881736750).

Almost surely, 210157607144 is an apocalyptic number.

It is an amenable number.

10157607144 is an abundant number, since it is smaller than the sum of its proper divisors (18057968856).

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

10157607144 is a wasteful number, since it uses less digits than its factorization.

10157607144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47025974 (or 47025964 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10157607144 in words is "ten billion, one hundred fifty-seven million, six hundred seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 47025959 94051918 141077877 188103836 282155754 376207672 423233631 564311508 846467262 1128623016 1269700893 1692934524 2539401786 3385869048 5078803572 10157607144