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21620482560 = 2932543139157
BaseRepresentation
bin10100001000101011…
…100110001000000000
32001210202202022102100
4110020223212020000
5323234320420220
613533213550400
71363530032565
oct241053461000
961722668370
1021620482560
119195220606
1242347a5400
132067332661
1410915cc86c
15868163d90
hex508ae6200

21620482560 has 480 divisors, whose sum is σ = 77661904320. Its totient is φ = 5555257344.

The previous prime is 21620482531. The next prime is 21620482561. The reversal of 21620482560 is 6528402612.

It is a happy number.

21620482560 is a `hidden beast` number, since 2 + 1 + 620 + 4 + 8 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×216204825602 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21620482561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 137710002 + ... + 137710158.

It is an arithmetic number, because the mean of its divisors is an integer number (161795634).

Almost surely, 221620482560 is an apocalyptic number.

21620482560 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 21620482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38830952160).

21620482560 is an abundant number, since it is smaller than the sum of its proper divisors (56041421760).

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

21620482560 is a wasteful number, since it uses less digits than its factorization.

21620482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21620482560 in words is "twenty-one billion, six hundred twenty million, four hundred eighty-two thousand, five hundred sixty".