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6997117865472 = 2933773990523
BaseRepresentation
bin110010111010010010010…
…1110011000111000000000
3220202220210011201101002000
41211310210232120320000
51404120044133143342
622514233115224000
71321345050345510
oct145644456307000
926686704641060
106997117865472
112258508690a89
12950108748000
133b9a964a1597
141a293b551840
15c202768d44c
hex65d24b98e00

6997117865472 has 320 divisors, whose sum is σ = 23995087311360. Its totient is φ = 1971788562432.

The previous prime is 6997117865431. The next prime is 6997117865501. The reversal of 6997117865472 is 2745687117996.

6997117865472 is a `hidden beast` number, since 6 + 9 + 9 + 7 + 1 + 1 + 78 + 6 + 547 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6997117865472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6568803 + ... + 7559325.

It is an arithmetic number, because the mean of its divisors is an integer number (74984647848).

Almost surely, 26997117865472 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 6997117865472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11997543655680).

6997117865472 is an abundant number, since it is smaller than the sum of its proper divisors (16997969445888).

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

6997117865472 is an equidigital number, since it uses as much as digits as its factorization.

6997117865472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990630 (or 990608 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 72.

The spelling of 6997117865472 in words is "six trillion, nine hundred ninety-seven billion, one hundred seventeen million, eight hundred sixty-five thousand, four hundred seventy-two".