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130432676733360 = 2432517372714432399
BaseRepresentation
bin11101101010000010111001…
…010111010010000110110000
3122002211020112111121201000100
4131222002321113102012300
5114044002110220431420
61141223540001552400
736321310215231621
oct3552027127220660
9562736474551010
10130432676733360
1138618207708a91
1212766887645700
1357a19969b6ac1
14242cd920a3a48
151012cbeaa7190
hex76a0b95d21b0

130432676733360 has 960 divisors, whose sum is σ = 479375146598400. Its totient is φ = 31648922173440.

The previous prime is 130432676733311. The next prime is 130432676733431. The reversal of 130432676733360 is 63337676234031.

130432676733360 is a `hidden beast` number, since 1 + 3 + 0 + 43 + 267 + 6 + 7 + 3 + 336 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130432676733297 and 130432676733306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54369601441 + ... + 54369603839.

It is an arithmetic number, because the mean of its divisors is an integer number (499349111040).

Almost surely, 2130432676733360 is an apocalyptic number.

130432676733360 is a gapful number since it is divisible by the number (10) 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 130432676733360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239687573299200).

130432676733360 is an abundant number, since it is smaller than the sum of its proper divisors (348942469865040).

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

130432676733360 is a wasteful number, since it uses less digits than its factorization.

130432676733360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 54.

The spelling of 130432676733360 in words is "one hundred thirty trillion, four hundred thirty-two billion, six hundred seventy-six million, seven hundred thirty-three thousand, three hundred sixty".