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130479414408 = 2334732931653
BaseRepresentation
bin111100110000100101…
…1011101110010001000
3110110210100001000120000
41321201023131302020
54114210212230113
6135535202403000
712266254503000
oct1714113356210
9413710030500
10130479414408
1150377256292
1221355360460
13c3c52ccab5
14645b023000
1535d9eb2373
hex1e612ddc88

130479414408 has 640 divisors, whose sum is σ = 455811840000. Its totient is φ = 34779870720.

The previous prime is 130479414367. The next prime is 130479414409. The reversal of 130479414408 is 804414974031.

130479414408 is a `hidden beast` number, since 1 + 30 + 479 + 4 + 144 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (130479414409) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 199815010 + ... + 199815662.

It is an arithmetic number, because the mean of its divisors is an integer number (712206000).

Almost surely, 2130479414408 is an apocalyptic number.

130479414408 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 130479414408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227905920000).

130479414408 is an abundant number, since it is smaller than the sum of its proper divisors (325332425592).

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

130479414408 is a wasteful number, since it uses less digits than its factorization.

130479414408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 130479414408 in words is "one hundred thirty billion, four hundred seventy-nine million, four hundred fourteen thousand, four hundred eight".