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52353544320 = 273357311273
BaseRepresentation
bin110000110000100000…
…111011000010000000
312000010121102121111000
4300300200323002000
51324210001404240
640014554052000
73532240533000
oct606040730200
9160117377430
1052353544320
1120226235800
12a19111a000
134c245415bc
14276913a000
1515662e1430
hexc3083b080

52353544320 has 1536 divisors, whose sum is σ = 240932160000. Its totient is φ = 10729635840.

The previous prime is 52353544307. The next prime is 52353544343. The reversal of 52353544320 is 2344535325.

52353544320 is a `hidden beast` number, since 52 + 3 + 535 + 44 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 717171804 + ... + 717171876.

It is an arithmetic number, because the mean of its divisors is an integer number (156856875).

Almost surely, 252353544320 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 52353544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120466080000).

52353544320 is an abundant number, since it is smaller than the sum of its proper divisors (188578615680).

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

52353544320 is a wasteful number, since it uses less digits than its factorization.

52353544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 52353544320 in words is "fifty-two billion, three hundred fifty-three million, five hundred forty-four thousand, three hundred twenty".