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130163589360 = 24335789197491
BaseRepresentation
bin111100100111001011…
…0101100000011110000
3110102222022202110001000
41321032112230003300
54113033334324420
6135444001242000
712255401153160
oct1711626540360
9412868673030
10130163589360
1150224a53252
1221287633300
13c374a50c7c
14642b0d05a0
1535bc3c9690
hex1e4e5ac0f0

130163589360 has 640 divisors, whose sum is σ = 521838028800. Its totient is φ = 29208453120.

The previous prime is 130163589349. The next prime is 130163589371. The reversal of 130163589360 is 63985361031.

130163589360 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 6 + 3 + 589 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (130163589349) and next prime (130163589371).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 265098715 + ... + 265099205.

It is an arithmetic number, because the mean of its divisors is an integer number (815371920).

Almost surely, 2130163589360 is an apocalyptic number.

130163589360 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 130163589360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260919014400).

130163589360 is an abundant number, since it is smaller than the sum of its proper divisors (391674439440).

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

130163589360 is a wasteful number, since it uses less digits than its factorization.

130163589360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 130163589360 in words is "one hundred thirty billion, one hundred sixty-three million, five hundred eighty-nine thousand, three hundred sixty".