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10752375764 = 22131735334457
BaseRepresentation
bin10100000001110010…
…00011101111010100
31000202100111021122102
422000321003233110
5134010102011024
64534540421232
7530311454204
oct120071035724
930670437572
1010752375764
114618488069
122100b47818
131024837430
14740052404
1542de791ae
hex280e43bd4

10752375764 has 48 divisors (see below), whose sum is σ = 21517504848. Its totient is φ = 4657348608.

The previous prime is 10752375743. The next prime is 10752375811. The reversal of 10752375764 is 46757325701.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6980164 + 10745395600 = 2642^2 + 103660^2 .

It is a super-2 number, since 2×107523757642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294824 + ... + 329280.

It is an arithmetic number, because the mean of its divisors is an integer number (448281351).

Almost surely, 210752375764 is an apocalyptic number.

It is an amenable number.

10752375764 is an abundant number, since it is smaller than the sum of its proper divisors (10765129084).

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

10752375764 is a wasteful number, since it uses less digits than its factorization.

10752375764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34844 (or 34842 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 47.

The spelling of 10752375764 in words is "ten billion, seven hundred fifty-two million, three hundred seventy-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 13 17 26 34 52 68 221 353 442 706 884 1412 4589 6001 9178 12002 18356 24004 34457 68914 78013 137828 156026 312052 447941 585769 895882 1171538 1791764 2343076 7614997 12163321 15229994 24326642 30459988 48653284 158123173 206776457 316246346 413552914 632492692 827105828 2688093941 5376187882 10752375764