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6863867112960 = 2935511131931131
BaseRepresentation
bin110001111100001111001…
…0111000110111000000000
3220022011211200220210100000
41203320132113012320000
51344424144440103320
622333114513200000
71305620011550544
oct143703627067000
926264750823300
106863867112960
112206a4a054430
1292a31b260000
133aa34bc9b470
1419a2da449a24
15bd829253c90
hex63e1e5c6e00

6863867112960 has 3840 divisors, whose sum is σ = 31709650452480. Its totient is φ = 1397440512000.

The previous prime is 6863867112889. The next prime is 6863867112967. The reversal of 6863867112960 is 692117683686.

6863867112960 is a `hidden beast` number, since 6 + 8 + 6 + 386 + 71 + 129 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×68638671129602 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6863867112967) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52395932095 + ... + 52395932225.

It is an arithmetic number, because the mean of its divisors is an integer number (8257721472).

Almost surely, 26863867112960 is an apocalyptic number.

6863867112960 is a gapful number since it is divisible by the number (60) 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 6863867112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854825226240).

6863867112960 is an abundant number, since it is smaller than the sum of its proper divisors (24845783339520).

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

6863867112960 is a wasteful number, since it uses less digits than its factorization.

6863867112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 6863867112960 in words is "six trillion, eight hundred sixty-three billion, eight hundred sixty-seven million, one hundred twelve thousand, nine hundred sixty".