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130766348160 = 2735571131063
BaseRepresentation
bin111100111001001001…
…0000001111110000000
3110111112022221202200000
41321302102001332000
54120302141120120
6140023452400000
712306340422360
oct1716222017600
9414468852600
10130766348160
1150504215918
1221415476000
13c43c8a4496
1464871949a0
15360528e990
hex1e72481f80

130766348160 has 768 divisors, whose sum is σ = 540417346560. Its totient is φ = 29597073408.

The previous prime is 130766348149. The next prime is 130766348171. The reversal of 130766348160 is 61843667031.

130766348160 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 6 + 634 + 8 + 1 + 6 + 0 = 666.

130766348160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130766348149) and next prime (130766348171).

It is a super-2 number, since 2×1307663481602 (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 123015789 + ... + 123016851.

It is an arithmetic number, because the mean of its divisors is an integer number (703668420).

Almost surely, 2130766348160 is an apocalyptic number.

130766348160 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 130766348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270208673280).

130766348160 is an abundant number, since it is smaller than the sum of its proper divisors (409650998400).

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

130766348160 is a wasteful number, since it uses less digits than its factorization.

130766348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 130766348160 in words is "one hundred thirty billion, seven hundred sixty-six million, three hundred forty-eight thousand, one hundred sixty".