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20537098560 = 2633511281769
BaseRepresentation
bin10011001000000110…
…110100000101000000
31222000021011200222000
4103020012310011000
5314024444123220
613233513144000
71324633312626
oct231006640500
958007150860
1020537098560
118789725130
123b919bb000
131c23a4ba34
14dcb777516
15802eb1390
hex4c81b4140

20537098560 has 448 divisors, whose sum is σ = 79421126400. Its totient is φ = 4954521600.

The previous prime is 20537098493. The next prime is 20537098579. The reversal of 20537098560 is 6589073502.

It is a happy number.

20537098560 is a `hidden beast` number, since 20 + 537 + 0 + 98 + 5 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26705856 + ... + 26706624.

It is an arithmetic number, because the mean of its divisors is an integer number (177279300).

Almost surely, 220537098560 is an apocalyptic number.

20537098560 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 20537098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39710563200).

20537098560 is an abundant number, since it is smaller than the sum of its proper divisors (58884027840).

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

20537098560 is a wasteful number, since it uses less digits than its factorization.

20537098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 20537098560 in words is "twenty billion, five hundred thirty-seven million, ninety-eight thousand, five hundred sixty".