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10628839080 = 2332529524553
BaseRepresentation
bin10011110011000011…
…10011011010101000
31000102202000222011200
421321201303122220
5133231440322310
64514404524200
7524251433016
oct117141633250
930382028150
1010628839080
114564780132
1220876b0660
1310050727c2
1472b8958b6
154231c59c0
hex2798736a8

10628839080 has 48 divisors (see below), whose sum is σ = 34543728180. Its totient is φ = 2834356992.

The previous prime is 10628839073. The next prime is 10628839129. The reversal of 10628839080 is 8093882601.

10628839080 is a `hidden beast` number, since 10 + 628 + 8 + 3 + 9 + 0 + 8 + 0 = 666.

10628839080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9328082724 + 1300756356 = 96582^2 + 36066^2 .

It is a super-2 number, since 2×106288390802 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14761917 + ... + 14762636.

Almost surely, 210628839080 is an apocalyptic number.

10628839080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10628839080 is an abundant number, since it is smaller than the sum of its proper divisors (23914889100).

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

10628839080 is a wasteful number, since it uses less digits than its factorization.

10628839080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29524570 (or 29524563 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10628839080 in words is "ten billion, six hundred twenty-eight million, eight hundred thirty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 29524553 59049106 88573659 118098212 147622765 177147318 236196424 265720977 295245530 354294636 442868295 531441954 590491060 708589272 885736590 1062883908 1180982120 1328604885 1771473180 2125767816 2657209770 3542946360 5314419540 10628839080