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5982116191488 = 283329314720483
BaseRepresentation
bin101011100001101000111…
…1010010001110100000000
3210011212212221222221122000
41113003101322101310000
51241002333221111423
620420051330544000
71155123262435563
oct127032172216400
923155787887560
105982116191488
1119a7001700418
1280745a738000
1334515a221a98
141697709aa4da
15a591ddd1843
hex570d1e91d00

5982116191488 has 576 divisors, whose sum is σ = 19293371596800. Its totient is φ = 1823442001920.

The previous prime is 5982116191451. The next prime is 5982116191501. The reversal of 5982116191488 is 8841916112895.

5982116191488 is a `hidden beast` number, since 5 + 9 + 8 + 2 + 1 + 1 + 61 + 91 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292042495 + ... + 292062977.

It is an arithmetic number, because the mean of its divisors is an integer number (33495436800).

Almost surely, 25982116191488 is an apocalyptic number.

5982116191488 is a gapful number since it is divisible by the number (58) 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 5982116191488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9646685798400).

5982116191488 is an abundant number, since it is smaller than the sum of its proper divisors (13311255405312).

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

5982116191488 is a wasteful number, since it uses less digits than its factorization.

5982116191488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20615 (or 20595 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 63.

The spelling of 5982116191488 in words is "five trillion, nine hundred eighty-two billion, one hundred sixteen million, one hundred ninety-one thousand, four hundred eighty-eight".