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10135712064 = 263444111887
BaseRepresentation
bin10010111000010001…
…01011000101000000
3222011101010112002010
421130020223011000
5131224220241224
64353431252520
7506113062642
oct113410530500
928141115063
1010135712064
114331388545
121b6a51a140
13c56b55b7a
146c21ac892
153e4c68e29
hex25c22b140

10135712064 has 56 divisors (see below), whose sum is σ = 26825699968. Its totient is φ = 3377525760.

The previous prime is 10135712047. The next prime is 10135712161. The reversal of 10135712064 is 46021753101.

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, 846729 + ... + 858615.

Almost surely, 210135712064 is an apocalyptic number.

It is an amenable number.

10135712064 is an abundant number, since it is smaller than the sum of its proper divisors (16689987904).

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

10135712064 is a wasteful number, since it uses less digits than its factorization.

10135712064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16343 (or 16333 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10135712064 in words is "ten billion, one hundred thirty-five million, seven hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 4441 8882 11887 13323 17764 23774 26646 35528 35661 47548 53292 71056 71322 95096 106584 142112 142644 190192 213168 284224 285288 380384 426336 570576 760768 852672 1141152 2282304 52790167 105580334 158370501 211160668 316741002 422321336 633482004 844642672 1266964008 1689285344 2533928016 3378570688 5067856032 10135712064