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20013476112 = 24367219297
BaseRepresentation
bin10010101000111001…
…010110100100010000
31220122202212221000000
4102220321112210100
5311441422213422
613105530130000
71305644511600
oct225071264420
956582787000
1020013476112
1185400a3903
123a66580900
131b6c415776
14d7bdd2c00
157c202dcac
hex4a8e56910

20013476112 has 630 divisors, whose sum is σ = 72112036878. Its totient is φ = 5361334272.

The previous prime is 20013476101. The next prime is 20013476113. The reversal of 20013476112 is 21167431002.

20013476112 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 47 + 611 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16712284176 + 3301191936 = 129276^2 + 57456^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20013476113) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 206324448 + ... + 206324544.

Almost surely, 220013476112 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 20013476112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36056018439).

20013476112 is an abundant number, since it is smaller than the sum of its proper divisors (52098560766).

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

20013476112 is an equidigital number, since it uses as much as digits as its factorization.

20013476112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 128 counting only the distinct ones).

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

The spelling of 20013476112 in words is "twenty billion, thirteen million, four hundred seventy-six thousand, one hundred twelve".