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20404258560 = 283357212049
BaseRepresentation
bin10011000000001100…
…000100011100000000
31221200000012201202000
4103000030010130000
5313241442233220
613212410024000
71321431223200
oct230014043400
957600181660
1020404258560
118720743504
123b55418000
131c0237a69a
14db7c78400
157e64c1390
hex4c0304700

20404258560 has 432 divisors, whose sum is σ = 84235284000. Its totient is φ = 4663443456.

The previous prime is 20404258549. The next prime is 20404258579. The reversal of 20404258560 is 6585240402.

It is a happy number.

20404258560 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 42 + 58 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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, 1687416 + ... + 1699464.

Almost surely, 220404258560 is an apocalyptic number.

20404258560 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 20404258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42117642000).

20404258560 is an abundant number, since it is smaller than the sum of its proper divisors (63831025440).

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

20404258560 is a wasteful number, since it uses less digits than its factorization.

20404258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12093 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 20404258560 its reverse (6585240402), we get a palindrome (26989498962).

The spelling of 20404258560 in words is "twenty billion, four hundred four million, two hundred fifty-eight thousand, five hundred sixty".