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4993391525760 = 273651141743
BaseRepresentation
bin100100010101001110101…
…0100111111111110000000
3122200100211001002212000000
41020222131110333332000
51123302431212311020
614341533222000000
71023521616441321
oct110523524777600
918610731085000
104993391525760
11165575a380000
12687904876000
132a2b4ac23691
14133977c26448
1589d52495090
hex48a9d53ff80

4993391525760 has 2240 divisors, whose sum is σ = 21330326516400. Its totient is φ = 1112816517120.

The previous prime is 4993391525741. The next prime is 4993391525779. The reversal of 4993391525760 is 675251933994.

4993391525760 is a `hidden beast` number, since 4 + 9 + 9 + 3 + 3 + 9 + 1 + 52 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4993391525741) and next prime (4993391525779).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 116125384299 + ... + 116125384341.

Almost surely, 24993391525760 is an apocalyptic number.

4993391525760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4993391525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10665163258200).

4993391525760 is an abundant number, since it is smaller than the sum of its proper divisors (16336934990640).

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

4993391525760 is an frugal number, since it uses more digits than its factorization.

4993391525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 4993391525760 in words is "four trillion, nine hundred ninety-three billion, three hundred ninety-one million, five hundred twenty-five thousand, seven hundred sixty".