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6870088368 = 243211133771127
BaseRepresentation
bin1100110010111110…
…10011101010110000
3122201210021122112100
412121133103222300
5103032220311433
63053413500400
7332150534103
oct63137235260
918653248470
106870088368
112a05a93090
1213b8941700
1385641b760
144925c073a
152a3206b13
hex1997d3ab0

6870088368 has 480 divisors, whose sum is σ = 23710482432. Its totient is φ = 1828915200.

The previous prime is 6870088363. The next prime is 6870088373. The reversal of 6870088368 is 8638800786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6870088363) and next prime (6870088373).

It is a super-2 number, since 2×68700883682 = 94396228368257806848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6870088363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54095121 + ... + 54095247.

Almost surely, 26870088368 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 6870088368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855241216).

6870088368 is an abundant number, since it is smaller than the sum of its proper divisors (16840394064).

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

6870088368 is a wasteful number, since it uses less digits than its factorization.

6870088368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 6870088368 is about 82885.9962116641. The cubic root of 6870088368 is about 1901.0233054617.

The spelling of 6870088368 in words is "six billion, eight hundred seventy million, eighty-eight thousand, three hundred sixty-eight".