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130295236608 = 211341967617
BaseRepresentation
bin111100101011000110…
…0111000100000000000
3110110022111110211010000
41321112030320200000
54113321040032413
6135505023040000
712261560144325
oct1712614704000
9413274424100
10130295236608
115029229a829
1221303740000
13c3960c5454
14644079cb4c
1535c8c31073
hex1e56338800

130295236608 has 480 divisors, whose sum is σ = 416453637600. Its totient is φ = 40466055168.

The previous prime is 130295236573. The next prime is 130295236613. The reversal of 130295236608 is 806632592031.

130295236608 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 9 + 5 + 2 + 36 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 211175116 + ... + 211175732.

It is an arithmetic number, because the mean of its divisors is an integer number (867611745).

Almost surely, 2130295236608 is an apocalyptic number.

130295236608 is a gapful number since it is divisible by the number (18) 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 130295236608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208226818800).

130295236608 is an abundant number, since it is smaller than the sum of its proper divisors (286158400992).

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

130295236608 is an equidigital number, since it uses as much as digits as its factorization.

130295236608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 130295236608 in words is "one hundred thirty billion, two hundred ninety-five million, two hundred thirty-six thousand, six hundred eight".