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112048324272 = 2433259371121
BaseRepresentation
bin110100001011010011…
…0011011111010110000
3101201012211200122001000
41220112212123322300
53313433332334042
6123250240242000
711044443020223
oct1502646337260
9351184618030
10112048324272
11435793a3495
1219870910300
13a7489939c1
1455cd25b5ba
152dabd5374c
hex1a1699beb0

112048324272 has 40 divisors (see below), whose sum is σ = 321620191280. Its totient is φ = 37349441280.

The previous prime is 112048324259. The next prime is 112048324303. The reversal of 112048324272 is 272423840211.

112048324272 is a `hidden beast` number, since 1 + 1 + 20 + 48 + 324 + 272 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129685129 + ... + 129685992.

It is an arithmetic number, because the mean of its divisors is an integer number (8040504782).

Almost surely, 2112048324272 is an apocalyptic number.

112048324272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112048324272 is an abundant number, since it is smaller than the sum of its proper divisors (209571867008).

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

112048324272 is a wasteful number, since it uses less digits than its factorization.

112048324272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259371138 (or 259371126 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

It can be divided in two parts, 11204832 and 4272, that added together give a square (11209104 = 33482).

The spelling of 112048324272 in words is "one hundred twelve billion, forty-eight million, three hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 259371121 518742242 778113363 1037484484 1556226726 2074968968 2334340089 3112453452 4149937936 4668680178 6224906904 7003020267 9337360356 12449813808 14006040534 18674720712 28012081068 37349441424 56024162136 112048324272