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20040636672 = 283275921061
BaseRepresentation
bin10010101010100000…
…111101100100000000
31220201122222211021200
4102222200331210000
5312020400333142
613112340221200
71306424413110
oct225240754400
956648884250
1020040636672
118554464a51
123a7369a800
131b74c351c4
14d81863040
157c45e664c
hex4aa83d900

20040636672 has 216 divisors, whose sum is σ = 67159135680. Its totient is φ = 5628579840.

The previous prime is 20040636659. The next prime is 20040636689. The reversal of 20040636672 is 27663604002.

It is a happy number.

It is a super-2 number, since 2×200406366722 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 941022 + ... + 962082.

Almost surely, 220040636672 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 20040636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33579567840).

20040636672 is an abundant number, since it is smaller than the sum of its proper divisors (47118499008).

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

20040636672 is a wasteful number, since it uses less digits than its factorization.

20040636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21149 (or 21132 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 20040636672 in words is "twenty billion, forty million, six hundred thirty-six thousand, six hundred seventy-two".