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10137657088 = 281310093019
BaseRepresentation
bin10010111000100000…
…00101111100000000
3222011111210100011001
421130100011330000
5131230220011323
64353541101344
7506135443366
oct113420057400
928144710131
1010137657088
1143324968a9
121b6b0b7854
13c57387280
146c2557636
153e50003ad
hex25c405f00

10137657088 has 72 divisors (see below), whose sum is σ = 21821130800. Its totient is φ = 4672733184.

The previous prime is 10137657071. The next prime is 10137657109. The reversal of 10137657088 is 88075673101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3356443 + ... + 3359461.

Almost surely, 210137657088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10137657088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910565400).

10137657088 is an abundant number, since it is smaller than the sum of its proper divisors (11683473712).

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

10137657088 is a wasteful number, since it uses less digits than its factorization.

10137657088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 10137657088 in words is "ten billion, one hundred thirty-seven million, six hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1009 1664 2018 3019 3328 4036 6038 8072 12076 13117 16144 24152 26234 32288 39247 48304 52468 64576 78494 96608 104936 129152 156988 193216 209872 258304 313976 386432 419744 627952 772864 839488 1255904 1678976 2511808 3046171 3357952 5023616 6092342 10047232 12184684 24369368 39600223 48738736 79200446 97477472 158400892 194954944 316801784 389909888 633603568 779819776 1267207136 2534414272 5068828544 10137657088