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10510921936 = 242973310313
BaseRepresentation
bin10011100100111111…
…11111000011010000
31000010112011011021001
421302133333003100
5133011244000221
64454553311344
7521320235164
oct116237770320
930115134231
1010510921936
114504161249
122054105554
13cb67c7948
14719d5cca4
15417b82391
hex2727ff0d0

10510921936 has 40 divisors (see below), whose sum is σ = 21355809480. Its totient is φ = 5004711936.

The previous prime is 10510921919. The next prime is 10510921957. The reversal of 10510921936 is 63912901501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5589057600 + 4921864336 = 74760^2 + 70156^2 .

It is a super-2 number, since 2×105109219362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10510921895 and 10510921904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121285 + ... + 189028.

It is an arithmetic number, because the mean of its divisors is an integer number (533895237).

Almost surely, 210510921936 is an apocalyptic number.

10510921936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10510921936 is an abundant number, since it is smaller than the sum of its proper divisors (10844887544).

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

10510921936 is a wasteful number, since it uses less digits than its factorization.

10510921936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310423 (or 310417 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The spelling of 10510921936 in words is "ten billion, five hundred ten million, nine hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 73 116 146 232 292 464 584 1168 2117 4234 8468 16936 33872 310313 620626 1241252 2482504 4965008 8999077 17998154 22652849 35996308 45305698 71992616 90611396 143985232 181222792 362445584 656932621 1313865242 2627730484 5255460968 10510921936