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20452937904 = 2432721941612
BaseRepresentation
bin10011000011000101…
…110001000010110000
31221210101210220020200
4103003011301002300
5313341423003104
613221305235200
71322562050400
oct230305610260
957711726220
1020452937904
118746171a73
123b69792b00
131c0c492929
14dc050a800
157ea8d9b39
hex4c31710b0

20452937904 has 540 divisors, whose sum is σ = 72995406120. Its totient is φ = 5312563200.

The previous prime is 20452937903. The next prime is 20452937927. The reversal of 20452937904 is 40973925402.

20452937904 is a `hidden beast` number, since 2 + 0 + 4 + 529 + 37 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20452937904.

It is not an unprimeable number, because it can be changed into a prime (20452937903) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 335294034 + ... + 335294094.

It is an arithmetic number, because the mean of its divisors is an integer number (135176678).

Almost surely, 220452937904 is an apocalyptic number.

20452937904 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 20452937904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36497703060).

20452937904 is an abundant number, since it is smaller than the sum of its proper divisors (52542468216).

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

20452937904 is a wasteful number, since it uses less digits than its factorization.

20452937904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 20452937904 in words is "twenty billion, four hundred fifty-two million, nine hundred thirty-seven thousand, nine hundred four".