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12063464064 = 273210471757
BaseRepresentation
bin10110011110000100…
…11101101010000000
31011010201112110200100
423033002131222000
5144201221322224
65313013522400
7604641516111
oct131702355200
934121473610
1012063464064
115130569113
122408043400
1311a3355422
1482621c208
154a9109ac9
hex2cf09da80

12063464064 has 48 divisors (see below), whose sum is σ = 34713877770. Its totient is φ = 4021154304.

The previous prime is 12063464033. The next prime is 12063464069. The reversal of 12063464064 is 46046436021.

12063464064 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 3 + 4 + 640 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11752294464 + 311169600 = 108408^2 + 17640^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (12063464069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5234727 + ... + 5237030.

Almost surely, 212063464064 is an apocalyptic number.

It is an amenable number.

12063464064 is an abundant number, since it is smaller than the sum of its proper divisors (22650413706).

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

12063464064 is a wasteful number, since it uses less digits than its factorization.

12063464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10471777 (or 10471762 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 12063464064 in words is "twelve billion, sixty-three million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10471757 20943514 31415271 41887028 62830542 83774056 94245813 125661084 167548112 188491626 251322168 335096224 376983252 502644336 670192448 753966504 1005288672 1340384896 1507933008 2010577344 3015866016 4021154688 6031732032 12063464064