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52493894640 = 2433511319312
BaseRepresentation
bin110000111000111000…
…010100001111110000
312000111101112010221000
4300320320110033300
51330001414112030
640040530202000
73535563512415
oct607070241760
9160441463830
1052493894640
1120298487000
12a210123300
134c47642225
14277da3210c
1515737b6860
hexc38e143f0

52493894640 has 960 divisors, whose sum is σ = 216318297600. Its totient is φ = 11667110400.

The previous prime is 52493894639. The next prime is 52493894723. The reversal of 52493894640 is 4649839425.

52493894640 is a `hidden beast` number, since 5 + 2 + 493 + 8 + 94 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1693351425 + ... + 1693351455.

It is an arithmetic number, because the mean of its divisors is an integer number (225331560).

Almost surely, 252493894640 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 52493894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108159148800).

52493894640 is an abundant number, since it is smaller than the sum of its proper divisors (163824402960).

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

52493894640 is a wasteful number, since it uses less digits than its factorization.

52493894640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 52493894640 in words is "fifty-two billion, four hundred ninety-three million, eight hundred ninety-four thousand, six hundred forty".