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130495917024 = 25341143163653
BaseRepresentation
bin111100110001000101…
…0011010101111100000
3110110211111002102220000
41321202022122233200
54114223423321044
6135540552220000
712266544664404
oct1714212325740
9413744072800
10130495917024
11503855a7a10
122135a99a600
13c3c885a365
14645d2bb104
1535db671d69
hex1e6229abe0

130495917024 has 480 divisors, whose sum is σ = 431699393664. Its totient is φ = 38328837120.

The previous prime is 130495917017. The next prime is 130495917043. The reversal of 130495917024 is 420719594031.

130495917024 is a `hidden beast` number, since 1 + 3 + 0 + 495 + 91 + 70 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199840282 + ... + 199840934.

Almost surely, 2130495917024 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 130495917024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215849696832).

130495917024 is an abundant number, since it is smaller than the sum of its proper divisors (301203476640).

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

130495917024 is a wasteful number, since it uses less digits than its factorization.

130495917024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 130495917024 in words is "one hundred thirty billion, four hundred ninety-five million, nine hundred seventeen thousand, twenty-four".