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10452757632 = 273171601219
BaseRepresentation
bin10011011110000100…
…00110110010000000
3222222110201002211120
421233002012302000
5132401401221012
64445114512240
7520012655022
oct115702066200
928873632746
1010452757632
114484344579
122038735680
13ca77413b5
1471233c012
154129e358c
hex26f086c80

10452757632 has 64 divisors (see below), whose sum is σ = 29398399200. Its totient is φ = 3279294464.

The previous prime is 10452757543. The next prime is 10452757643. The reversal of 10452757632 is 23675725401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×104527576322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794082 + ... + 807137.

Almost surely, 210452757632 is an apocalyptic number.

10452757632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10452757632 is an abundant number, since it is smaller than the sum of its proper divisors (18945641568).

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

10452757632 is a wasteful number, since it uses less digits than its factorization.

10452757632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601253 (or 1601241 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 10452757632 in words is "ten billion, four hundred fifty-two million, seven hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 1601219 3202438 4803657 6404876 9607314 12809752 19214628 25619504 27220723 38429256 51239008 54441446 76858512 81662169 102478016 108882892 153717024 163324338 204956032 217765784 307434048 326648676 435531568 614868096 653297352 871063136 1306594704 1742126272 2613189408 3484252544 5226378816 10452757632