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130692614976 = 26327411371
BaseRepresentation
bin111100110110111100…
…0110000101101000000
3110111100012012201202100
41321231320300231000
54120124302134401
6140012300150400
712304453620000
oct1715570605500
9414305181670
10130692614976
1150476635000
12213b4838400
13c42a529691
14647b480000
1535eda77b86
hex1e6de30b40

130692614976 has 840 divisors, whose sum is σ = 487454131008. Its totient is φ = 33468019200.

The previous prime is 130692614971. The next prime is 130692614989. The reversal of 130692614976 is 679416296031.

130692614976 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 92 + 61 + 497 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130692614971) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1840741021 + ... + 1840741091.

Almost surely, 2130692614976 is an apocalyptic number.

130692614976 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 130692614976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243727065504).

130692614976 is an abundant number, since it is smaller than the sum of its proper divisors (356761516032).

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

130692614976 is an frugal number, since it uses more digits than its factorization.

130692614976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 130692614976 in words is "one hundred thirty billion, six hundred ninety-two million, six hundred fourteen thousand, nine hundred seventy-six".