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20376077904 = 24337132961293
BaseRepresentation
bin10010111110100000…
…100100011001010000
31221121001012000011000
4102332200210121100
5313212233443104
613205522022000
71320636542640
oct227640443120
957531160130
1020376077904
118706845a06
123b47aa7900
131bc9591840
14db4220520
157e3ca6639
hex4be824650

20376077904 has 640 divisors, whose sum is σ = 75945139200. Its totient is φ = 5086126080.

The previous prime is 20376077903. The next prime is 20376077921. The reversal of 20376077904 is 40977067302.

It is a happy number.

20376077904 is a `hidden beast` number, since 2 + 0 + 37 + 607 + 7 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20376077904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20376077903) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69542782 + ... + 69543074.

It is an arithmetic number, because the mean of its divisors is an integer number (118664280).

Almost surely, 220376077904 is an apocalyptic number.

20376077904 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 20376077904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37972569600).

20376077904 is an abundant number, since it is smaller than the sum of its proper divisors (55569061296).

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

20376077904 is a wasteful number, since it uses less digits than its factorization.

20376077904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 20376077904 in words is "twenty billion, three hundred seventy-six million, seventy-seven thousand, nine hundred four".