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11523260664 = 2333291839601
BaseRepresentation
bin10101011101101011…
…10000000011111000
31002202002001021221000
422232311300003320
5142044423320124
65143235245000
7555362046066
oct125665600370
932662037830
1011523260664
114983642323
122297149760
131118465046
147b459d036
1547699e6c9
hex2aed700f8

11523260664 has 64 divisors (see below), whose sum is σ = 33112836000. Its totient is φ = 3708633600.

The previous prime is 11523260633. The next prime is 11523260681. The reversal of 11523260664 is 46606232511.

11523260664 is a `hidden beast` number, since 1 + 15 + 2 + 32 + 606 + 6 + 4 = 666.

11523260664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 913537 + ... + 926064.

Almost surely, 211523260664 is an apocalyptic number.

It is an amenable number.

11523260664 is an abundant number, since it is smaller than the sum of its proper divisors (21589575336).

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

11523260664 is a wasteful number, since it uses less digits than its factorization.

11523260664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839645 (or 1839635 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11523260664 in words is "eleven billion, five hundred twenty-three million, two hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 1839601 3679202 5518803 7358404 11037606 14716808 16556409 22075212 33112818 44150424 49669227 53348429 66225636 99338454 106696858 132451272 160045287 198676908 213393716 320090574 397353816 426787432 480135861 640181148 960271722 1280362296 1440407583 1920543444 2880815166 3841086888 5761630332 11523260664