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10572929136 = 24337211172671
BaseRepresentation
bin10011101100011001…
…00001100001110000
31000021211211110011000
421312030201201300
5133123132213021
64505050322000
7523002262200
oct116614414160
930254743130
1010572929136
114536163170
122070a29300
13cc65c83b3
147242a0400
1541d32eb26
hex276321870

10572929136 has 480 divisors, whose sum is σ = 40793103360. Its totient is φ = 2583705600.

The previous prime is 10572929123. The next prime is 10572929189. The reversal of 10572929136 is 63192927501.

It is a happy number.

It is a super-2 number, since 2×105729291362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10572929091 and 10572929100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3957081 + ... + 3959751.

It is an arithmetic number, because the mean of its divisors is an integer number (84985632).

Almost surely, 210572929136 is an apocalyptic number.

10572929136 is a gapful number since it is divisible by the number (16) 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 10572929136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396551680).

10572929136 is an abundant number, since it is smaller than the sum of its proper divisors (30220174224).

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

10572929136 is a wasteful number, since it uses less digits than its factorization.

10572929136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10572929136 in words is "ten billion, five hundred seventy-two million, nine hundred twenty-nine thousand, one hundred thirty-six".