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10930631936 = 28712748029
BaseRepresentation
bin10100010111000010…
…00011010100000000
31001012202220122010212
422023201003110000
5134341220210221
65004345213252
7534604560410
oct121341032400
931182818125
1010930631936
1146aa069614
122150791228
13105274a663
147599b4640
1543e93ab5b
hex28b843500

10930631936 has 72 divisors (see below), whose sum is σ = 25132369920. Its totient is φ = 4647573504.

The previous prime is 10930631917. The next prime is 10930631951. The reversal of 10930631936 is 63913603901.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10930631893 and 10930631902.

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 7 ways as a sum of consecutive naturals, for example, 203570 + ... + 251598.

Almost surely, 210930631936 is an apocalyptic number.

10930631936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10930631936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566184960).

10930631936 is an abundant number, since it is smaller than the sum of its proper divisors (14201737984).

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

10930631936 is an equidigital number, since it uses as much as digits as its factorization.

10930631936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48179 (or 48165 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 41.

The spelling of 10930631936 in words is "ten billion, nine hundred thirty million, six hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 254 256 448 508 889 896 1016 1778 1792 2032 3556 4064 7112 8128 14224 16256 28448 32512 48029 56896 96058 113792 192116 227584 336203 384232 672406 768464 1344812 1536928 2689624 3073856 5379248 6099683 6147712 10758496 12199366 12295424 21516992 24398732 42697781 43033984 48797464 85395562 86067968 97594928 170791124 195189856 341582248 390379712 683164496 780759424 1366328992 1561518848 2732657984 5465315968 10930631936