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112662511026672 = 2432347135646389
BaseRepresentation
bin11001100111011101001000…
…111100110000000111110000
3112202220102122002202212100110
4121213131020330300013300
5104231330310310323142
61035340235411221320
732505412023033045
oct3147351074600760
9482812562685313
10112662511026672
11329969a2407092
12107768baba7840
134ab304c2105b9
141db6c74c091cc
15d0592546899c
hex667748f301f0

112662511026672 has 20 divisors (see below), whose sum is σ = 291044820152360. Its totient is φ = 37554170342208.

The previous prime is 112662511026661. The next prime is 112662511026679. The reversal of 112662511026672 is 276620115266211.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 2347135646389 = 112662511026672 / (1 + 1 + 2 + 6 + 6 + 2 + 5 + 1 + 1 + 0 + 2 + 6 + 6 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112662511026679) 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 3 ways as a sum of consecutive naturals, for example, 1173567823147 + ... + 1173567823242.

It is an arithmetic number, because the mean of its divisors is an integer number (14552241007618).

Almost surely, 2112662511026672 is an apocalyptic number.

112662511026672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112662511026672 is an abundant number, since it is smaller than the sum of its proper divisors (178382309125688).

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

112662511026672 is a wasteful number, since it uses less digits than its factorization.

112662511026672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347135646400 (or 2347135646394 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 112662511026672 in words is "one hundred twelve trillion, six hundred sixty-two billion, five hundred eleven million, twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2347135646389 4694271292778 7041406939167 9388542585556 14082813878334 18777085171112 28165627756668 37554170342224 56331255513336 112662511026672