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11526920064 = 273211909637
BaseRepresentation
bin10101011110000111…
…01101011110000000
31002202022221012200100
422233003231132000
5142101342420224
65143445522400
7555435126642
oct125703553600
932668835610
1011526920064
114985711720
122298413400
13111914687a
147b4c72892
15476e73ac9
hex2af0ed780

11526920064 has 96 divisors (see below), whose sum is σ = 36185399640. Its totient is φ = 3493002240.

The previous prime is 11526920059. The next prime is 11526920071. The reversal of 11526920064 is 46002962511.

11526920064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 442147 + ... + 467490.

Almost surely, 211526920064 is an apocalyptic number.

It is an amenable number.

11526920064 is an abundant number, since it is smaller than the sum of its proper divisors (24658479576).

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

11526920064 is a wasteful number, since it uses less digits than its factorization.

11526920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909668 (or 909653 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11526920064 in words is "eleven billion, five hundred twenty-six million, nine hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 909637 1819274 2728911 3638548 5457822 7277096 8186733 10006007 10915644 14554192 16373466 20012014 21831288 29108384 30018021 32746932 40024028 43662576 58216768 60036042 65493864 80048056 87325152 90054063 116433536 120072084 130987728 160096112 174650304 180108126 240144168 261975456 320192224 349300608 360216252 480288336 523950912 640384448 720432504 960576672 1047901824 1280768896 1440865008 1921153344 2881730016 3842306688 5763460032 11526920064