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45045168184836 = 22329682112923381
BaseRepresentation
bin10100011110111111001010…
…01111111001111000000100
312220111021110012221200000100
422033133211033321320010
521401010001023403321
6235445244203444100
712326256155043021
oct1217374517717004
9186437405850010
1045045168184836
111339760412a406
12507607b826630
131c19983367c01
14b1a2aa990548
15531adc9ee326
hex28f7e53f9e04

45045168184836 has 36 divisors (see below), whose sum is σ = 113865359972364. Its totient is φ = 15014899819200.

The previous prime is 45045168184777. The next prime is 45045168184837. The reversal of 45045168184836 is 63848186154054.

45045168184836 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 516 + 8 + 1 + 84 + 8 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43915220444736 + 1129947740100 = 6626856^2 + 1062990^2 .

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

It is a super-2 number, since 2×450451681848362 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45045168184837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2976135 + ... + 9947246.

It is an arithmetic number, because the mean of its divisors is an integer number (3162926665899).

Almost surely, 245045168184836 is an apocalyptic number.

It is an amenable number.

45045168184836 is an abundant number, since it is smaller than the sum of its proper divisors (68820191787528).

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

45045168184836 is a wasteful number, since it uses less digits than its factorization.

45045168184836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13020212 (or 13020207 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 45045168184836 in words is "forty-five trillion, forty-five billion, one hundred sixty-eight million, one hundred eighty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 96821 193642 290463 387284 580926 871389 1161852 1742778 3485556 12923381 25846762 38770143 51693524 77540286 116310429 155080572 232620858 465241716 1251254671801 2502509343602 3753764015403 5005018687204 7507528030806 11261292046209 15015056061612 22522584092418 45045168184836