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20311162704 = 24327188910667
BaseRepresentation
bin10010111010101000…
…111011111101010000
31221102112000222020100
4102322220323331100
5313044124201304
613155242412400
71316221014540
oct227250737520
957375028210
1020311162704
118683138188
123b2a201100
131bb8cb3591
14da9763320
157dd232439
hex4baa3bf50

20311162704 has 120 divisors (see below), whose sum is σ = 65003964480. Its totient is φ = 5799573504.

The previous prime is 20311162699. The next prime is 20311162727. The reversal of 20311162704 is 40726111302.

20311162704 is a `hidden beast` number, since 2 + 0 + 31 + 1 + 1 + 627 + 0 + 4 = 666.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1898779 + ... + 1909445.

It is an arithmetic number, because the mean of its divisors is an integer number (541699704).

Almost surely, 220311162704 is an apocalyptic number.

20311162704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311162704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32501982240).

20311162704 is an abundant number, since it is smaller than the sum of its proper divisors (44692801776).

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

20311162704 is a wasteful number, since it uses less digits than its factorization.

20311162704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12577 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 20311162704 in words is "twenty billion, three hundred eleven million, one hundred sixty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1889 3778 5667 7556 10667 11334 13223 15112 17001 21334 22668 26446 30224 32001 34002 39669 42668 45336 52892 64002 68004 74669 79338 85336 90672 96003 105784 119007 128004 136008 149338 158676 170672 192006 211568 224007 238014 256008 272016 298676 317352 384012 448014 476028 512016 597352 634704 672021 768024 896028 952056 1194704 1344042 1536048 1792056 1904112 2688084 3584112 5376168 10752336 20149963 40299926 60449889 80599852 120899778 141049741 161199704 181349667 241799556 282099482 322399408 362699334 423149223 483599112 564198964 725398668 846298446 967198224 1128397928 1269447669 1450797336 1692596892 2256795856 2538895338 2901594672 3385193784 5077790676 6770387568 10155581352 20311162704