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130862710656 = 27322329732333
BaseRepresentation
bin111100111100000000…
…1100111111110000000
3110111210001021111011100
41321320001213332000
54121001323220111
6140041214014400
712311620454526
oct1717001477600
9414701244140
10130862710656
1150553652447
12214417a7400
13c456843402
146495cba316
15360d976756
hex1e78067f80

130862710656 has 384 divisors, whose sum is σ = 412238548800. Its totient is φ = 39716683776.

The previous prime is 130862710651. The next prime is 130862710717. The reversal of 130862710656 is 656017268031.

130862710656 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 627 + 10 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130862710651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56090866 + ... + 56093198.

Almost surely, 2130862710656 is an apocalyptic number.

130862710656 is a gapful number since it is divisible by the number (16) 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 130862710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206119274400).

130862710656 is an abundant number, since it is smaller than the sum of its proper divisors (281375838144).

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

130862710656 is a wasteful number, since it uses less digits than its factorization.

130862710656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

Adding to 130862710656 its reverse (656017268031), we get a palindrome (786879978687).

The spelling of 130862710656 in words is "one hundred thirty billion, eight hundred sixty-two million, seven hundred ten thousand, six hundred fifty-six".