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10520365664 = 251917303233
BaseRepresentation
bin10011100110001000…
…00000101001100000
31000011011220221121202
421303010000221200
5133021203200124
64455531540332
7521463430004
oct116304005140
930134827552
1010520365664
114509521486
1220572ba6a8
13cb8753253
1471b2da704
154188ea5ae
hex273100a60

10520365664 has 24 divisors (see below), whose sum is σ = 21802074840. Its totient is φ = 4983330816.

The previous prime is 10520365651. The next prime is 10520365673. The reversal of 10520365664 is 46656302501.

It is a happy number.

It is a super-2 number, since 2×105203656642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8651009 + ... + 8652224.

It is an arithmetic number, because the mean of its divisors is an integer number (908419785).

Almost surely, 210520365664 is an apocalyptic number.

It is an amenable number.

10520365664 is an abundant number, since it is smaller than the sum of its proper divisors (11281709176).

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

10520365664 is a wasteful number, since it uses less digits than its factorization.

10520365664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17303262 (or 17303254 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 10520365664 in words is "ten billion, five hundred twenty million, three hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 17303233 34606466 69212932 138425864 276851728 328761427 553703456 657522854 1315045708 2630091416 5260182832 10520365664