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52358484960 = 25325177383353
BaseRepresentation
bin110000110000110011…
…110001001111100000
312000010221201121202200
4300300303301033200
51324212233004320
640015252013200
73532330531125
oct606063611740
9160127647680
1052358484960
1120228aaa781
12a192901200
134c25581362
142769a6474c
15156696a290
hexc30cf13e0

52358484960 has 576 divisors, whose sum is σ = 194635441728. Its totient is φ = 12768509952.

The previous prime is 52358484949. The next prime is 52358484989. The reversal of 52358484960 is 6948485325.

52358484960 is a `hidden beast` number, since 5 + 23 + 58 + 484 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52358484897 and 52358484906.

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, 148324144 + ... + 148324496.

It is an arithmetic number, because the mean of its divisors is an integer number (337908753).

Almost surely, 252358484960 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 52358484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97317720864).

52358484960 is an abundant number, since it is smaller than the sum of its proper divisors (142276956768).

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

52358484960 is a wasteful number, since it uses less digits than its factorization.

52358484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 52358484960 in words is "fifty-two billion, three hundred fifty-eight million, four hundred eighty-four thousand, nine hundred sixty".