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112416402717 = 334163570471
BaseRepresentation
bin110100010110010001…
…0100010110100011101
3101202011111021221202000
41220230202202310131
53320212044341332
6123350545352513
711056532441223
oct1505442426435
9352144257660
10112416402717
1143748146253
1219954038739
13a7a70097b8
1456260b2b13
152dce30db7c
hex1a2c8a2d1d

112416402717 has 8 divisors (see below), whose sum is σ = 166542818880. Its totient is φ = 74944268460.

The previous prime is 112416402689. The next prime is 112416402727. The reversal of 112416402717 is 717204614211.

112416402717 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 640 + 2 + 7 + 1 + 7 = 666.

It is not a de Polignac number, because 112416402717 - 216 = 112416337181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112416402727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2081785209 + ... + 2081785262.

It is an arithmetic number, because the mean of its divisors is an integer number (20817852360).

Almost surely, 2112416402717 is an apocalyptic number.

It is an amenable number.

112416402717 is a deficient number, since it is larger than the sum of its proper divisors (54126416163).

112416402717 is an equidigital number, since it uses as much as digits as its factorization.

112416402717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163570480 (or 4163570474 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 112416402717 in words is "one hundred twelve billion, four hundred sixteen million, four hundred two thousand, seven hundred seventeen".

Divisors: 1 3 9 27 4163570471 12490711413 37472134239 112416402717