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12918990960 = 2432517943043
BaseRepresentation
bin11000000100000100…
…00010100001110000
31020100100100201221200
430002002002201300
5202424230202320
65533534451200
7635100416451
oct140202024160
936310321850
1012918990960
11552a485137
122606663b00
1312ab67a265
148a7abd128
1550929e290
hex302082870

12918990960 has 60 divisors (see below), whose sum is σ = 43386280392. Its totient is φ = 3445064064.

The previous prime is 12918990943. The next prime is 12918990979. The reversal of 12918990960 is 6909981921.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 12918990897 and 12918990906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8970802 + ... + 8972241.

Almost surely, 212918990960 is an apocalyptic number.

12918990960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12918990960 is an abundant number, since it is smaller than the sum of its proper divisors (30467289432).

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

12918990960 is a wasteful number, since it uses less digits than its factorization.

12918990960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17943062 (or 17943053 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 12918990960 in words is "twelve billion, nine hundred eighteen million, nine hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 17943043 35886086 53829129 71772172 89715215 107658258 143544344 161487387 179430430 215316516 269145645 287088688 322974774 358860860 430633032 538291290 645949548 717721720 807436935 861266064 1076582580 1291899096 1435443440 1614873870 2153165160 2583798192 3229747740 4306330320 6459495480 12918990960