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6989956452864 = 293371117386279
BaseRepresentation
bin110010110110111100111…
…0111110001001000000000
3220202020022002020220211000
41211231321313301020000
51404010412322442424
622511050333252000
71321002431344530
oct145557167611000
926666262226730
106989956452864
11225547320a770
1294a84a334000
133b91c4901c28
141a245c3b94c0
15c1c58add3c9
hex65b79df1200

6989956452864 has 640 divisors, whose sum is σ = 27313766092800. Its totient is φ = 1708770263040.

The previous prime is 6989956452863. The next prime is 6989956452883. The reversal of 6989956452864 is 4682546599896.

It is a happy number.

6989956452864 is a `hidden beast` number, since 6 + 9 + 89 + 9 + 5 + 6 + 4 + 528 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (6989956452863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17902477 + ... + 18288755.

It is an arithmetic number, because the mean of its divisors is an integer number (42677759520).

Almost surely, 26989956452864 is an apocalyptic number.

6989956452864 is a gapful number since it is divisible by the number (64) 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 6989956452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656883046400).

6989956452864 is an abundant number, since it is smaller than the sum of its proper divisors (20323809639936).

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

6989956452864 is a wasteful number, since it uses less digits than its factorization.

6989956452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386341 (or 386319 counting only the distinct ones).

The product of its digits is 8062156800, while the sum is 81.

The spelling of 6989956452864 in words is "six trillion, nine hundred eighty-nine billion, nine hundred fifty-six million, four hundred fifty-two thousand, eight hundred sixty-four".