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20085154176 = 27382163709
BaseRepresentation
bin10010101101001010…
…110010000110000000
31220211202202112211010
4102231022302012000
5312113244413201
613121010320520
71310504664543
oct225512620600
956752675733
1020085154176
11857760067a
123a86589140
131b81221019
14d8773085a
157c848bbd6
hex4ad2b2180

20085154176 has 64 divisors (see below), whose sum is σ = 53417012400. Its totient is φ = 6686791680.

The previous prime is 20085154153. The next prime is 20085154181. The reversal of 20085154176 is 67145158002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 283410 + ... + 347118.

Almost surely, 220085154176 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 20085154176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26708506200).

20085154176 is an abundant number, since it is smaller than the sum of its proper divisors (33331858224).

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

20085154176 is an equidigital number, since it uses as much as digits as its factorization.

20085154176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64547 (or 64535 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 20085154176 in words is "twenty billion, eighty-five million, one hundred fifty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 821 1642 2463 3284 4926 6568 9852 13136 19704 26272 39408 52544 63709 78816 105088 127418 157632 191127 254836 315264 382254 509672 764508 1019344 1529016 2038688 3058032 4077376 6116064 8154752 12232128 24464256 52305089 104610178 156915267 209220356 313830534 418440712 627661068 836881424 1255322136 1673762848 2510644272 3347525696 5021288544 6695051392 10042577088 20085154176