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45356165136 = 243434997041
BaseRepresentation
bin101010001111011100…
…000010100000010000
311100001221121220210000
4222033130002200100
51220342134241021
632500352010000
73163653020412
oct521734024020
9140057556700
1045356165136
11182654111a7
128959830900
13437a945549
1422a3aa29b2
1512a6d43b26
hexa8f702810

45356165136 has 50 divisors (see below), whose sum is σ = 131273904542. Its totient is φ = 15118721280.

The previous prime is 45356165123. The next prime is 45356165147. The reversal of 45356165136 is 63156165354.

It is a happy number.

45356165136 is a `hidden beast` number, since 4 + 5 + 3 + 561 + 6 + 51 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45037328400 + 318836736 = 212220^2 + 17856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45356165091 and 45356165100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17497225 + ... + 17499816.

Almost surely, 245356165136 is an apocalyptic number.

It is an amenable number.

45356165136 is an abundant number, since it is smaller than the sum of its proper divisors (85917739406).

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

45356165136 is a wasteful number, since it uses less digits than its factorization.

45356165136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34997061 (or 34997046 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 45356165136 in words is "forty-five billion, three hundred fifty-six million, one hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 34997041 69994082 104991123 139988164 209982246 279976328 314973369 419964492 559952656 629946738 839928984 944920107 1259893476 1679857968 1889840214 2519786952 2834760321 3779680428 5039573904 5669520642 7559360856 11339041284 15118721712 22678082568 45356165136