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12912916265249 = 7111353243396533
BaseRepresentation
bin1011101111101000010111…
…0010010111100100100001
31200201110111100002110000012
42323322011302113210201
53143031123030441444
643244040053534305
72501633050151030
oct273720562274441
950643440073005
1012912916265249
114129378657980
121546739644395
137288b50b03a0
14328dba574717
15175d6435db9e
hexbbe85c97921

12912916265249 has 32 divisors (see below), whose sum is σ = 17664746851584. Its totient is φ = 9112766158080.

The previous prime is 12912916265243. The next prime is 12912916265269. The reversal of 12912916265249 is 94256261921921.

It is not a de Polignac number, because 12912916265249 - 212 = 12912916261153 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12912916265243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 121645214 + ... + 121751319.

It is an arithmetic number, because the mean of its divisors is an integer number (552023339112).

Almost surely, 212912916265249 is an apocalyptic number.

It is an amenable number.

12912916265249 is a deficient number, since it is larger than the sum of its proper divisors (4751830586335).

12912916265249 is a wasteful number, since it uses less digits than its factorization.

12912916265249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243396617.

The product of its digits is 8398080, while the sum is 59.

The spelling of 12912916265249 in words is "twelve trillion, nine hundred twelve billion, nine hundred sixteen million, two hundred sixty-five thousand, two hundred forty-nine".

Divisors: 1 7 11 13 53 77 91 143 371 583 689 1001 4081 4823 7579 53053 243396533 1703775731 2677361863 3164154929 12900016249 18741533041 22149084503 34805704219 90300113743 141900178739 167700211237 243639929533 993301251173 1173901478659 1844702323607 12912916265249