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12617968543684 = 227248725212
BaseRepresentation
bin1011011110011101100110…
…0010000110011111000100
31122200021011220220202100121
42313213121202012133010
53123213044421344214
642500340440351324
72441422010660200
oct267473142063704
948607156822317
1012617968543684
1140252833251a9
1214b9544175544
13706b3bbb585a
143189da421b00
1516d3504d1424
hexb79d98867c4

12617968543684 has 81 divisors (see below), whose sum is σ = 25788930365709. Its totient is φ = 5386238544960.

The previous prime is 12617968543669. The next prime is 12617968543711. The reversal of 12617968543684 is 48634586971621.

The square root of 12617968543684 is 3552178.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3618448537284 + 8999520006400 = 1902222^2 + 2999920^2 .

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 26 ways as a sum of consecutive naturals, for example, 24218749344 + ... + 24218749864.

Almost surely, 212617968543684 is an apocalyptic number.

12617968543684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12617968543684 is the 3552178-th square number.

It is an amenable number.

12617968543684 is an abundant number, since it is smaller than the sum of its proper divisors (13170961822025).

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

12617968543684 is an frugal number, since it uses more digits than its factorization.

12617968543684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 1017 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 70.

The spelling of 12617968543684 in words is "twelve trillion, six hundred seventeen billion, nine hundred sixty-eight million, five hundred forty-three thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 487 521 974 1042 1948 2084 3409 3647 6818 7294 13636 14588 23863 25529 47726 51058 95452 102116 237169 253727 271441 474338 507454 542882 948676 1014908 1085764 1660183 1776089 1900087 3320366 3552178 3800174 6640732 7104356 7600348 11621281 12432623 13300609 23242562 24865246 26601218 46485124 49730492 53202436 123565049 132191767 247130098 264383534 494260196 528767068 864955343 925342369 1729910686 1850684738 3459821372 3701369476 6054687401 6477396583 12109374802 12954793166 24218749604 25909586332 64377390529 128754781058 257509562116 450641733703 901283467406 1802566934812 3154492135921 6308984271842 12617968543684