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52945384320 = 27355615581
BaseRepresentation
bin110001010011110010…
…100111001110000000
312001122212002012100000
4301103302213032000
51331413004244240
640153415200000
73553015225023
oct612362471600
9161585065300
1052945384320
11204aa31a974
12a317376000
134cba040c9a
1427c399b1ba
15159d24b430
hexc53ca7380

52945384320 has 384 divisors, whose sum is σ = 192741101280. Its totient is φ = 13884825600.

The previous prime is 52945384291. The next prime is 52945384337. The reversal of 52945384320 is 2348354925.

52945384320 is a `hidden beast` number, since 5 + 2 + 94 + 538 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×529453843203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9483930 + ... + 9489510.

Almost surely, 252945384320 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 52945384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96370550640).

52945384320 is an abundant number, since it is smaller than the sum of its proper divisors (139795716960).

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

52945384320 is an equidigital number, since it uses as much as digits as its factorization.

52945384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5652 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 52945384320 in words is "fifty-two billion, nine hundred forty-five million, three hundred eighty-four thousand, three hundred twenty".