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53757889920 = 2733573531259
BaseRepresentation
bin110010000100001110…
…000100110110000000
312010202110221202111000
4302010032010312000
51340044004434140
640410202052000
73612112345020
oct620416046600
9163673852430
1053757889920
1120886a223a9
12a5034aa000
1350b9482027
14285d85da80
1515e9743a30
hexc84384d80

53757889920 has 512 divisors, whose sum is σ = 218381184000. Its totient is φ = 12242976768.

The previous prime is 53757889879. The next prime is 53757889961. The reversal of 53757889920 is 2998875735.

53757889920 is a `hidden beast` number, since 5 + 37 + 578 + 8 + 9 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (53757889879) and next prime (53757889961).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42698251 + ... + 42699509.

It is an arithmetic number, because the mean of its divisors is an integer number (426525750).

Almost surely, 253757889920 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 53757889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109190592000).

53757889920 is an abundant number, since it is smaller than the sum of its proper divisors (164623294080).

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

53757889920 is a wasteful number, since it uses less digits than its factorization.

53757889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 53757889920 in words is "fifty-three billion, seven hundred fifty-seven million, eight hundred eighty-nine thousand, nine hundred twenty".