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12617043856816 = 2473135310294451
BaseRepresentation
bin1011011110011010001001…
…1010101100110110110000
31122200011210110221210102211
42313212202122230312300
53123204201211404231
642500105005221504
72441360052162130
oct267464232546660
948604713853384
1012617043856816
114024949371283
1214b9326561894
13706a22457669
1431894d6baac0
1516d2e9229eb1
hexb79a26acdb0

12617043856816 has 80 divisors (see below), whose sum is σ = 28920656959488. Its totient is φ = 5218050816000.

The previous prime is 12617043856801. The next prime is 12617043856831. The reversal of 12617043856816 is 61865834071621.

It is an interprime number because it is at equal distance from previous prime (12617043856801) and next prime (12617043856831).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3921610 + ... + 6372841.

Almost surely, 212617043856816 is an apocalyptic number.

12617043856816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12617043856816 is an abundant number, since it is smaller than the sum of its proper divisors (16303613102672).

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

12617043856816 is a wasteful number, since it uses less digits than its factorization.

12617043856816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10294850 (or 10294844 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 12617043856816 in words is "twelve trillion, six hundred seventeen billion, forty-three million, eight hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 353 434 496 706 868 1412 1736 2471 2824 3472 4942 5648 9884 10943 19768 21886 39536 43772 76601 87544 153202 175088 306404 612808 1225616 10294451 20588902 41177804 72061157 82355608 144122314 164711216 288244628 319127981 576489256 638255962 1152978512 1276511924 2233895867 2553023848 3633941203 4467791734 5106047696 7267882406 8935583468 14535764812 17871166936 25437588421 29071529624 35742333872 50875176842 58143059248 101750353684 112652177293 203500707368 225304354586 407001414736 450608709172 788565241051 901217418344 1577130482102 1802434836688 3154260964204 6308521928408 12617043856816