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11664125792 = 2511231440727
BaseRepresentation
bin10101101110011110…
…00110111101100000
31010002220002222112222
422313033012331200
5142342004011132
65205230410212
7562022301434
oct126717067540
933086088488
1011664125792
114a46105390
122316360968
13113b6b60a7
147c918a9c4
15484027412
hex2b73c6f60

11664125792 has 48 divisors (see below), whose sum is σ = 26140568832. Its totient is φ = 5071355520.

The previous prime is 11664125761. The next prime is 11664125807. The reversal of 11664125792 is 29752146611.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 712268 + ... + 728459.

It is an arithmetic number, because the mean of its divisors is an integer number (544595184).

Almost surely, 211664125792 is an apocalyptic number.

It is an amenable number.

11664125792 is an abundant number, since it is smaller than the sum of its proper divisors (14476443040).

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

11664125792 is a wasteful number, since it uses less digits than its factorization.

11664125792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440771 (or 1440763 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The spelling of 11664125792 in words is "eleven billion, six hundred sixty-four million, one hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 1440727 2881454 5762908 11525816 15847997 23051632 31695994 33136721 46103264 63391988 66273442 126783976 132546884 253567952 265093768 364503931 507135904 530187536 729007862 1060375072 1458015724 2916031448 5832062896 11664125792