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52914744000 = 2632531722543
BaseRepresentation
bin110001010001111101…
…101110101011000000
312001120201102111201100
4301101331232223000
51331332133302000
640150402334400
73552163621446
oct612175565300
9161521374640
1052914744000
1120493aa2398
12a30905a400
134cb38a3711
1427bd8a2b96
15159a6e7a00
hexc51f6eac0

52914744000 has 504 divisors, whose sum is σ = 201153296448. Its totient is φ = 13275340800.

The previous prime is 52914743993. The next prime is 52914744019. The reversal of 52914744000 is 44741925.

It is a happy number.

52914744000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20806729 + ... + 20809271.

Almost surely, 252914744000 is an apocalyptic number.

52914744000 is a gapful number since it is divisible by the number (50) 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 52914744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100576648224).

52914744000 is an abundant number, since it is smaller than the sum of its proper divisors (148238552448).

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

52914744000 is a wasteful number, since it uses less digits than its factorization.

52914744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 52914744000 in words is "fifty-two billion, nine hundred fourteen million, seven hundred forty-four thousand".