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130873556736 = 2833132199563
BaseRepresentation
bin111100111100010101…
…0111111111100000000
3110111210210200112012000
41321320222333330000
54121012112303421
6140042242304000
712312111606666
oct1717052777400
9414723615160
10130873556736
115055979024a
1221445358000
13c458b70100
146497500c36
15360e8ba226
hex1e78abff00

130873556736 has 432 divisors, whose sum is σ = 421930656000. Its totient is φ = 39995265024.

The previous prime is 130873556717. The next prime is 130873556833. The reversal of 130873556736 is 637655378031.

130873556736 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 73 + 5 + 567 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 232457191 + ... + 232457753.

Almost surely, 2130873556736 is an apocalyptic number.

130873556736 is a gapful number since it is divisible by the number (16) 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 130873556736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210965328000).

130873556736 is an abundant number, since it is smaller than the sum of its proper divisors (291057099264).

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

130873556736 is a wasteful number, since it uses less digits than its factorization.

130873556736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 130873556736 in words is "one hundred thirty billion, eight hundred seventy-three million, five hundred fifty-six thousand, seven hundred thirty-six".