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52144767360 = 273557192521
BaseRepresentation
bin110000100100000100…
…100000000110000000
311222121001120122100000
4300210010200012000
51323243030023420
635542135200000
73524124131550
oct604404400600
9158531518300
1052144767360
11201293a8564
12a133216000
134bc020333a
142749511160
151552d01690
hexc24120180

52144767360 has 768 divisors, whose sum is σ = 224728358400. Its totient is φ = 11287019520.

The previous prime is 52144767319. The next prime is 52144767419. The reversal of 52144767360 is 6376744125.

52144767360 is a `hidden beast` number, since 5 + 214 + 4 + 76 + 7 + 360 = 666.

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 95 ways as a sum of consecutive naturals, for example, 20682900 + ... + 20685420.

It is an arithmetic number, because the mean of its divisors is an integer number (292615050).

Almost surely, 252144767360 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 52144767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112364179200).

52144767360 is an abundant number, since it is smaller than the sum of its proper divisors (172583591040).

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

52144767360 is a wasteful number, since it uses less digits than its factorization.

52144767360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 52144767360 in words is "fifty-two billion, one hundred forty-four million, seven hundred sixty-seven thousand, three hundred sixty".