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20040539400 = 23335272233789
BaseRepresentation
bin10010101010100000…
…100101110100001000
31220201122210212212000
4102222200211310020
5312020334230100
613112334151000
71306423526400
oct225240456410
956648725760
1020040539400
1185543a8962
123a73652460
131b74bccb4b
14d81839800
157c45c7900
hex4aa825d08

20040539400 has 1152 divisors, whose sum is σ = 87021216000. Its totient is φ = 4215214080.

The previous prime is 20040539399. The next prime is 20040539411. The reversal of 20040539400 is 493504002.

20040539400 is a `hidden beast` number, since 200 + 4 + 0 + 53 + 9 + 400 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 225174556 + ... + 225174644.

It is an arithmetic number, because the mean of its divisors is an integer number (75539250).

Almost surely, 220040539400 is an apocalyptic number.

20040539400 is a gapful number since it is divisible by the number (20) 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 20040539400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43510608000).

20040539400 is an abundant number, since it is smaller than the sum of its proper divisors (66980676600).

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

20040539400 is a wasteful number, since it uses less digits than its factorization.

20040539400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 20040539400 in words is "twenty billion, forty million, five hundred thirty-nine thousand, four hundred".