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12641216115 = 3511314752583
BaseRepresentation
bin10111100010111100…
…11010011001110011
31012121222200022111110
423301132122121303
5201342122403430
65450213044403
7625155364323
oct136136323163
935558608443
1012641216115
1153a7700850
122549626703
131265c61648
1487cc53283
154debd07b0
hex2f179a673

12641216115 has 64 divisors (see below), whose sum is σ = 23261478912. Its totient is φ = 5805052800.

The previous prime is 12641216069. The next prime is 12641216117. The reversal of 12641216115 is 51161214621.

It is not a de Polignac number, because 12641216115 - 26 = 12641216051 is a prime.

It is a super-2 number, since 2×126412161152 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12641216117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214114 + ... + 266696.

It is an arithmetic number, because the mean of its divisors is an integer number (363460608).

Almost surely, 212641216115 is an apocalyptic number.

12641216115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12641216115 is a deficient number, since it is larger than the sum of its proper divisors (10620262797).

12641216115 is a wasteful number, since it uses less digits than its factorization.

12641216115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52680.

The product of its digits is 2880, while the sum is 30.

The spelling of 12641216115 in words is "twelve billion, six hundred forty-one million, two hundred sixteen thousand, one hundred fifteen".

Divisors: 1 3 5 11 15 31 33 47 55 93 141 155 165 235 341 465 517 705 1023 1457 1551 1705 2585 4371 5115 7285 7755 16027 21855 48081 52583 80135 157749 240405 262915 578413 788745 1630073 1735239 2471401 2892065 4890219 7414203 8150365 8676195 12357005 17930803 24451095 27185411 37071015 53792409 76613431 81556233 89654015 135927055 229840293 268962045 383067155 407781165 842747741 1149201465 2528243223 4213738705 12641216115