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20374468920 = 23335132296337
BaseRepresentation
bin10010111110011010…
…011011100100111000
31221120221011021001000
4102332122123210320
5313211331001140
613205423325000
71320620062011
oct227632334470
957527137030
1020374468920
118705947073
123b47450760
131bc914a390
14db3d22008
157e3a89a30
hex4be69b938

20374468920 has 256 divisors, whose sum is σ = 73470096000. Its totient is φ = 4992565248.

The previous prime is 20374468909. The next prime is 20374468927. The reversal of 20374468920 is 2986447302.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20374468927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3211992 + ... + 3218328.

Almost surely, 220374468920 is an apocalyptic number.

20374468920 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 20374468920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36735048000).

20374468920 is an abundant number, since it is smaller than the sum of its proper divisors (53095627080).

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

20374468920 is a wasteful number, since it uses less digits than its factorization.

20374468920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20374468920 in words is "twenty billion, three hundred seventy-four million, four hundred sixty-eight thousand, nine hundred twenty".