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130455993096 = 2334111353101263
BaseRepresentation
bin111100101111111001…
…0000111101100001000
3110110201200222002120000
41321133302013230020
54114133213234341
6135533004403000
712265551434202
oct1713762075410
9413650862500
10130455993096
1150365009530
1221349546460
13c3c04bc330
146457c87772
1535d7dd78b6
hex1e5fc87b08

130455993096 has 640 divisors, whose sum is σ = 443387831040. Its totient is φ = 35313408000.

The previous prime is 130455993079. The next prime is 130455993103. The reversal of 130455993096 is 690399554031.

130455993096 is a `hidden beast` number, since 1 + 3 + 0 + 45 + 599 + 3 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×1304559930962 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 496030261 + ... + 496030523.

It is an arithmetic number, because the mean of its divisors is an integer number (692793486).

Almost surely, 2130455993096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130455993096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221693915520).

130455993096 is an abundant number, since it is smaller than the sum of its proper divisors (312931837944).

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

130455993096 is a wasteful number, since it uses less digits than its factorization.

130455993096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 130455993096 in words is "one hundred thirty billion, four hundred fifty-five million, nine hundred ninety-three thousand, ninety-six".