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112465346004 = 223211284003399
BaseRepresentation
bin110100010111101110…
…1001111110111010100
3101202021220101112022100
41220233131033313110
53320312112033004
6123355454402100
711060665445064
oct1505735176724
9352256345270
10112465346004
1143772835050
1219968500330
13a7b41b4c1b
14562c7b33a4
152dd377a739
hex1a2f74fdd4

112465346004 has 36 divisors (see below), whose sum is σ = 310131712800. Its totient is φ = 34080407760.

The previous prime is 112465345999. The next prime is 112465346053. The reversal of 112465346004 is 400643564211.

112465346004 is a `hidden beast` number, since 1 + 1 + 2 + 46 + 5 + 3 + 4 + 600 + 4 = 666.

112465346004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112465346004.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 142001304 + ... + 142002095.

It is an arithmetic number, because the mean of its divisors is an integer number (8614769800).

Almost surely, 2112465346004 is an apocalyptic number.

It is an amenable number.

112465346004 is an abundant number, since it is smaller than the sum of its proper divisors (197666366796).

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

112465346004 is a wasteful number, since it uses less digits than its factorization.

112465346004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284003420 (or 284003415 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 112465346004 in words is "one hundred twelve billion, four hundred sixty-five million, three hundred forty-six thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 284003399 568006798 852010197 1136013596 1704020394 2556030591 3124037389 3408040788 5112061182 6248074778 9372112167 10224122364 12496149556 18744224334 28116336501 37488448668 56232673002 112465346004