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52965354960 = 243257233753233
BaseRepresentation
bin110001010100111110…
…110010110111010000
312001201020122210220100
4301110332302313100
51331433112324320
640155411212400
73553350042330
oct612476626720
9161636583810
1052965354960
112050a620131
12a321ba7100
134cc1213c2b
1427c64b90c0
15159ed93790
hexc54fb2dd0

52965354960 has 960 divisors, whose sum is σ = 222920875008. Its totient is φ = 11007000576.

The previous prime is 52965354917. The next prime is 52965354973. The reversal of 52965354960 is 6945356925.

It is a happy number.

52965354960 is a `hidden beast` number, since 5 + 2 + 9 + 6 + 535 + 49 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52965354897 and 52965354906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227319004 + ... + 227319236.

Almost surely, 252965354960 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 52965354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111460437504).

52965354960 is an abundant number, since it is smaller than the sum of its proper divisors (169955520048).

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

52965354960 is a wasteful number, since it uses less digits than its factorization.

52965354960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 52965354960 in words is "fifty-two billion, nine hundred sixty-five million, three hundred fifty-four thousand, nine hundred sixty".