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130524360904080 = 2433511213371038263
BaseRepresentation
bin11101101011011000010010…
…001010101000110110010000
3122010011000012010120011001000
4131223120102022220312100
5114102002342342412310
61141334021423542000
736331034224642113
oct3553302212506620
9563130163504030
10130524360904080
1138653085a70500
12127805b445a900
1357aa5187026b0
1424335ac92657a
151015388c0c4c0
hex76b6122a8d90

130524360904080 has 960 divisors, whose sum is σ = 546567752424960. Its totient is φ = 28418809098240.

The previous prime is 130524360904073. The next prime is 130524360904099. The reversal of 130524360904080 is 80409063425031.

130524360904080 is a `hidden beast` number, since 1 + 3 + 0 + 52 + 436 + 0 + 90 + 4 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125195029 + ... + 126233291.

It is an arithmetic number, because the mean of its divisors is an integer number (569341408776).

Almost surely, 2130524360904080 is an apocalyptic number.

130524360904080 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 130524360904080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273283876212480).

130524360904080 is an abundant number, since it is smaller than the sum of its proper divisors (416043391520880).

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

130524360904080 is a wasteful number, since it uses less digits than its factorization.

130524360904080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038357 (or 1038334 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 130524360904080 in words is "one hundred thirty trillion, five hundred twenty-four billion, three hundred sixty million, nine hundred four thousand, eighty".