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54716497920 = 21534571931
BaseRepresentation
bin110010111101010110…
…111000000000000000
312020020021202002110000
4302331112320000000
51344024410413140
641045244240000
73644632362360
oct627526700000
9166207662400
1054716497920
1121229044817
12a730540000
13520cc58bb6
142910cb49a0
15165399aa30
hexcbd5b8000

54716497920 has 1280 divisors, whose sum is σ = 243601459200. Its totient is φ = 11466178560.

The previous prime is 54716497919. The next prime is 54716497937. The reversal of 54716497920 is 2979461745.

54716497920 is a `hidden beast` number, since 5 + 471 + 64 + 97 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1765048305 + ... + 1765048335.

It is an arithmetic number, because the mean of its divisors is an integer number (190313640).

Almost surely, 254716497920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54716497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121800729600).

54716497920 is an abundant number, since it is smaller than the sum of its proper divisors (188884961280).

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

54716497920 is an equidigital number, since it uses as much as digits as its factorization.

54716497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 54716497920 in words is "fifty-four billion, seven hundred sixteen million, four hundred ninety-seven thousand, nine hundred twenty".