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8000116584 = 2332557130363
BaseRepresentation
bin1110111001101100…
…00001011101101000
3202122112122000211020
413130312001131220
5112341012212314
63401502132440
7402151604025
oct73466013550
922575560736
108000116584
113435947aa9
121673281120
139a65841c5
1455c6d854c
1531c51eda9
hex1dcd81768

8000116584 has 32 divisors (see below), whose sum is σ = 20008266720. Its totient is φ = 2665642176.

The previous prime is 8000116561. The next prime is 8000116591. The reversal of 8000116584 is 4856110008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3814 + ... + 126549.

It is an arithmetic number, because the mean of its divisors is an integer number (625258335).

Almost surely, 28000116584 is an apocalyptic number.

It is an amenable number.

8000116584 is an abundant number, since it is smaller than the sum of its proper divisors (12008150136).

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

8000116584 is a wasteful number, since it uses less digits than its factorization.

8000116584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132929 (or 132925 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 8000116584 is about 89443.3708219899. The cubic root of 8000116584 is about 2000.0097152861.

The spelling of 8000116584 in words is "eight billion, one hundred sixteen thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 2557 5114 7671 10228 15342 20456 30684 61368 130363 260726 391089 521452 782178 1042904 1564356 3128712 333338191 666676382 1000014573 1333352764 2000029146 2666705528 4000058292 8000116584