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52652514240 = 2634517192331
BaseRepresentation
bin110001000010010101…
…011001101111000000
312000220102222212010000
4301002111121233000
51330313020423430
640104354040000
73542530662264
oct610225315700
9160812885100
1052652514240
1120369a76287
12a255279000
134c7146b591
142796b220a4
151582699e60
hexc42559bc0

52652514240 has 840 divisors, whose sum is σ = 209930676912. Its totient is φ = 12481413120.

The previous prime is 52652514209. The next prime is 52652514337. The reversal of 52652514240 is 4241525625.

52652514240 is a `hidden beast` number, since 52 + 6 + 52 + 514 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 52652514195 and 52652514204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 159070875 + ... + 159071205.

Almost surely, 252652514240 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 52652514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104965338456).

52652514240 is an abundant number, since it is smaller than the sum of its proper divisors (157278162672).

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

52652514240 is a wasteful number, since it uses less digits than its factorization.

52652514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 52652514240 in words is "fifty-two billion, six hundred fifty-two million, five hundred fourteen thousand, two hundred forty".