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10375217504 = 251743716247
BaseRepresentation
bin10011010100110100…
…10100000101100000
3222210001210122202222
421222122110011200
5132222023430004
64433304530212
7515051615351
oct115232240540
928701718688
1010375217504
1144445a3523
122016780968
13c94662872
14705d15d28
1540acc87be
hex26a694160

10375217504 has 96 divisors (see below), whose sum is σ = 22446014976. Its totient is φ = 4700989440.

The previous prime is 10375217467. The next prime is 10375217507. The reversal of 10375217504 is 40571257301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10375217507) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1657709 + ... + 1663955.

It is an arithmetic number, because the mean of its divisors is an integer number (233812656).

Almost surely, 210375217504 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 10375217504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223007488).

10375217504 is an abundant number, since it is smaller than the sum of its proper divisors (12070797472).

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

10375217504 is a wasteful number, since it uses less digits than its factorization.

10375217504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 10375217504 in words is "ten billion, three hundred seventy-five million, two hundred seventeen thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 43 68 71 86 136 142 172 272 284 344 544 568 688 731 1136 1207 1376 1462 2272 2414 2924 3053 4828 5848 6106 6247 9656 11696 12212 12494 19312 23392 24424 24988 38624 48848 49976 51901 97696 99952 103802 106199 199904 207604 212398 268621 415208 424796 443537 537242 830416 849592 887074 1074484 1660832 1699184 1774148 2148968 3398368 3548296 4297936 4566557 7096592 7540129 8595872 9133114 14193184 15080258 18266228 19072091 30160516 36532456 38144182 60321032 73064912 76288364 120642064 146129824 152576728 241284128 305153456 324225547 610306912 648451094 1296902188 2593804376 5187608752 10375217504