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84457475136 = 2632941155821
BaseRepresentation
bin100111010101000001…
…1101100110001000000
322001222222122021100200
41032222003230301000
52340432103201021
6102444344445200
76046635456636
oct1165203546100
9261888567320
1084457475136
1132900052131
1214450779800
137c6c76c778
144132b75356
1522e49ac126
hex13aa0ecc40

84457475136 has 84 divisors (see below), whose sum is σ = 242340918924. Its totient is φ = 28122393600.

The previous prime is 84457475129. The next prime is 84457475171. The reversal of 84457475136 is 63157475448.

84457475136 is a `hidden beast` number, since 84 + 4 + 5 + 7 + 47 + 513 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65946240000 + 18511235136 = 256800^2 + 136056^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464106 + ... + 619926.

Almost surely, 284457475136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84457475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121170459462).

84457475136 is an abundant number, since it is smaller than the sum of its proper divisors (157883443788).

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

84457475136 is a wasteful number, since it uses less digits than its factorization.

84457475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156780 (or 156767 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 84457475136 in words is "eighty-four billion, four hundred fifty-seven million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 941 1882 2823 3764 5646 7528 8469 11292 15056 16938 22584 30112 33876 45168 60224 67752 90336 135504 155821 180672 271008 311642 467463 542016 623284 934926 1246568 1402389 1869852 2493136 2804778 3739704 4986272 5609556 7479408 9972544 11219112 14958816 22438224 29917632 44876448 89752896 146627561 293255122 439882683 586510244 879765366 1173020488 1319648049 1759530732 2346040976 2639296098 3519061464 4692081952 5278592196 7038122928 9384163904 10557184392 14076245856 21114368784 28152491712 42228737568 84457475136