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45020808000 = 263253731823
BaseRepresentation
bin101001111011011100…
…110000001101000000
311022012120121000021100
4221323130300031000
51214200311324000
632403212054400
73152441361000
oct517334601500
9138176530240
1045020808000
1118103088443
128885464400
13432631827c
142271328000
15128769da00
hexa7b730340

45020808000 has 672 divisors, whose sum is σ = 187912857600. Its totient is φ = 10284825600.

The previous prime is 45020807989. The next prime is 45020808031. The reversal of 45020808000 is 80802054.

45020808000 is a `hidden beast` number, since 4 + 502 + 0 + 80 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24695089 + ... + 24696911.

Almost surely, 245020808000 is an apocalyptic number.

45020808000 is a gapful number since it is divisible by the number (40) 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 45020808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93956428800).

45020808000 is an abundant number, since it is smaller than the sum of its proper divisors (142892049600).

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

45020808000 is a wasteful number, since it uses less digits than its factorization.

45020808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 45020808000 in words is "forty-five billion, twenty million, eight hundred eight thousand".