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52522888320 = 2734572232931
BaseRepresentation
bin110000111010100110…
…111010110010000000
312000120102002011210000
4300322212322302000
51330031324411240
640043443440000
73536365120200
oct607246726200
9160512064700
1052522888320
112030288a421
12a219986000
134c50654156
14278381c400
1515760e2430
hexc3a9bac80

52522888320 has 1920 divisors, whose sum is σ = 243127526400. Its totient is φ = 10729635840.

The previous prime is 52522888307. The next prime is 52522888381. The reversal of 52522888320 is 2388822525.

52522888320 is a `hidden beast` number, since 5 + 25 + 228 + 88 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 1694286705 + ... + 1694286735.

It is an arithmetic number, because the mean of its divisors is an integer number (126628920).

Almost surely, 252522888320 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 52522888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121563763200).

52522888320 is an abundant number, since it is smaller than the sum of its proper divisors (190604638080).

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

52522888320 is a wasteful number, since it uses less digits than its factorization.

52522888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 52522888320 in words is "fifty-two billion, five hundred twenty-two million, eight hundred eighty-eight thousand, three hundred twenty".