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130593855744 = 2834112233173
BaseRepresentation
bin111100110100000000…
…0000001100100000000
3110111002022101020120000
41321220000001210000
54114424011340434
6135554411320000
712302144313132
oct1715000014400
9414068336500
10130593855744
1150425910800
1221387750000
13c412c2b871
14646c2d3052
1535e506ab99
hex1e68001900

130593855744 has 1080 divisors, whose sum is σ = 467359259136. Its totient is φ = 36130406400.

The previous prime is 130593855719. The next prime is 130593855761. The reversal of 130593855744 is 447558395031.

It is a happy number.

130593855744 is a `hidden beast` number, since 1 + 3 + 0 + 59 + 38 + 557 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1788956892 + ... + 1788956964.

Almost surely, 2130593855744 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 130593855744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233679629568).

130593855744 is an abundant number, since it is smaller than the sum of its proper divisors (336765403392).

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

130593855744 is a wasteful number, since it uses less digits than its factorization.

130593855744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 130593855744 in words is "one hundred thirty billion, five hundred ninety-three million, eight hundred fifty-five thousand, seven hundred forty-four".