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21055495104 = 26357269719
BaseRepresentation
bin10011100111000000…
…010101101111000000
32000100101121222100000
4103213000111233000
5321110201320404
613401152200000
71343526520050
oct234700255700
960311558300
1021055495104
118a25307126
1240b7539000
131ca7275457
14103a55b560
15833760339
hex4e7015bc0

21055495104 has 336 divisors, whose sum is σ = 71893785600. Its totient is φ = 5985156096.

The previous prime is 21055495093. The next prime is 21055495117. The reversal of 21055495104 is 40159455012.

21055495104 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 549 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29284057 + ... + 29284775.

It is an arithmetic number, because the mean of its divisors is an integer number (213969600).

Almost surely, 221055495104 is an apocalyptic number.

21055495104 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 21055495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35946892800).

21055495104 is an abundant number, since it is smaller than the sum of its proper divisors (50838290496).

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

21055495104 is an equidigital number, since it uses as much as digits as its factorization.

21055495104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 21055495104 in words is "twenty-one billion, fifty-five million, four hundred ninety-five thousand, one hundred four".