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130713945336 = 2332131767122609
BaseRepresentation
bin111100110111100101…
…0001000010011111000
3110111101200100102111200
41321233022020103320
54120200232222321
6140014341254200
712305133126432
oct1715712102370
9414350312450
10130713945336
11504876838a7
12213bba04360
13c431a874b0
146480233652
15360088cd26
hex1e6f2884f8

130713945336 has 192 divisors, whose sum is σ = 409703767200. Its totient is φ = 37288525824.

The previous prime is 130713945301. The next prime is 130713945347. The reversal of 130713945336 is 633549317031.

130713945336 is a `hidden beast` number, since 1 + 30 + 7 + 139 + 453 + 36 = 666.

It is a super-2 number, since 2×1307139453362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130713945291 and 130713945300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004800 + ... + 1127408.

Almost surely, 2130713945336 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 130713945336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204851883600).

130713945336 is an abundant number, since it is smaller than the sum of its proper divisors (278989821864).

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

130713945336 is a wasteful number, since it uses less digits than its factorization.

130713945336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122718 (or 122711 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 130713945336 in words is "one hundred thirty billion, seven hundred thirteen million, nine hundred forty-five thousand, three hundred thirty-six".