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10137594920 = 235253439873
BaseRepresentation
bin10010111000011111…
…10110110000101000
3222011111200011212112
421130033312300220
5131230211014140
64353535501452
7506135064215
oct113417666050
928144604775
1010137594920
114332454122
121b6b087888
13c57364b9b
146c253cb0c
153e4edbc65
hex25c3f6c28

10137594920 has 16 divisors (see below), whose sum is σ = 22809588660. Its totient is φ = 4055037952.

The previous prime is 10137594881. The next prime is 10137594949. The reversal of 10137594920 is 2949573101.

10137594920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10037234596 + 100360324 = 100186^2 + 10018^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126719897 + ... + 126719976.

Almost surely, 210137594920 is an apocalyptic number.

10137594920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10137594920 is an abundant number, since it is smaller than the sum of its proper divisors (12671993740).

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

10137594920 is a wasteful number, since it uses less digits than its factorization.

10137594920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253439884 (or 253439880 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The spelling of 10137594920 in words is "ten billion, one hundred thirty-seven million, five hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 253439873 506879746 1013759492 1267199365 2027518984 2534398730 5068797460 10137594920