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130494965760 = 2113755827
BaseRepresentation
bin111100110001000011…
…0110010100000000000
3110110211102022010000000
41321202012302200000
54114223202401020
6135540520000000
712266533623135
oct1714206624000
9413742263000
10130494965760
1150385008245
122135a600000
13c3c85b6393
14645d11058c
1535db535090
hex1e621b2800

130494965760 has 384 divisors, whose sum is σ = 469676188800. Its totient is φ = 34792685568.

The previous prime is 130494965737. The next prime is 130494965761. The reversal of 130494965760 is 67569494031.

130494965760 is a `hidden beast` number, since 1 + 3 + 0 + 49 + 496 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 130494965697 and 130494965706.

It is not an unprimeable number, because it can be changed into a prime (130494965761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22391967 + ... + 22397793.

It is an arithmetic number, because the mean of its divisors is an integer number (1223115075).

Almost surely, 2130494965760 is an apocalyptic number.

130494965760 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 130494965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234838094400).

130494965760 is an abundant number, since it is smaller than the sum of its proper divisors (339181223040).

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

130494965760 is an frugal number, since it uses more digits than its factorization.

130494965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 130494965760 in words is "one hundred thirty billion, four hundred ninety-four million, nine hundred sixty-five thousand, seven hundred sixty".