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12975713964 = 22321737573031
BaseRepresentation
bin11000001010110100…
…11010111010101100
31020111022002120021200
430011122122322230
5203033240321324
65543322325500
7636356514603
oct140532327254
936438076250
1012975713964
1155594a7a54
122621659890
1312ba34a775
148b1446a3a
1550e255ec9
hex30569aeac

12975713964 has 72 divisors (see below), whose sum is σ = 35667803808. Its totient is φ = 3960783360.

The previous prime is 12975713963. The next prime is 12975713969. The reversal of 12975713964 is 46931757921.

12975713964 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 571 + 3 + 9 + 64 = 666.

12975713964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12975713964.

It is not an unprimeable number, because it can be changed into a prime (12975713963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 263872 + ... + 309159.

It is an arithmetic number, because the mean of its divisors is an integer number (495386164).

Almost surely, 212975713964 is an apocalyptic number.

It is an amenable number.

12975713964 is an abundant number, since it is smaller than the sum of its proper divisors (22692089844).

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

12975713964 is a wasteful number, since it uses less digits than its factorization.

12975713964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573095 (or 573090 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 12975713964 in words is "twelve billion, nine hundred seventy-five million, seven hundred thirteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 22644 573031 1146062 1719093 2292124 3438186 5157279 6876372 9741527 10314558 19483054 20629116 21202147 29224581 38966108 42404294 58449162 63606441 84808588 87673743 116898324 127212882 175347486 190819323 254425764 350694972 360436499 381638646 720872998 763277292 1081309497 1441745996 2162618994 3243928491 4325237988 6487856982 12975713964