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112215074976 = 25372955291
BaseRepresentation
bin110100010000010001…
…0100010100010100000
3101201122110110110000000
41220200202202202200
53314304024344401
6123314554300000
711051536253664
oct1504042424240
9351573413000
10112215074976
1143654536794
12198b8727600
13a7743a9064
1456074668a4
152dbb7e1186
hex1a208a28a0

112215074976 has 192 divisors, whose sum is σ = 342766166400. Its totient is φ = 36114543360.

The previous prime is 112215074953. The next prime is 112215075017. The reversal of 112215074976 is 679470512211.

112215074976 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 150 + 7 + 497 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2001891 + ... + 2057181.

It is an arithmetic number, because the mean of its divisors is an integer number (1785240450).

Almost surely, 2112215074976 is an apocalyptic number.

112215074976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112215074976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171383083200).

112215074976 is an abundant number, since it is smaller than the sum of its proper divisors (230551091424).

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

112215074976 is an frugal number, since it uses more digits than its factorization.

112215074976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55351 (or 55325 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 112215074976 in words is "one hundred twelve billion, two hundred fifteen million, seventy-four thousand, nine hundred seventy-six".