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130959949632 = 26319431316373
BaseRepresentation
bin111100111110111010…
…0100011111101000000
3110112000211020201221220
41321331310203331000
54121201221342012
6140055010115040
712314211130221
oct1717564437500
9415024221856
10130959949632
11505a3528536
122146a27ba80
13c470a2b275
1464a4b8d248
15361728308c
hex1e7dd23f40

130959949632 has 224 divisors, whose sum is σ = 376125150720. Its totient is φ = 40079370240.

The previous prime is 130959949607. The next prime is 130959949669. The reversal of 130959949632 is 236949959031.

130959949632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20545998 + ... + 20552370.

Almost surely, 2130959949632 is an apocalyptic number.

130959949632 is a gapful number since it is divisible by the number (12) 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 130959949632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188062575360).

130959949632 is an abundant number, since it is smaller than the sum of its proper divisors (245165201088).

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

130959949632 is a wasteful number, since it uses less digits than its factorization.

130959949632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 60.

The spelling of 130959949632 in words is "one hundred thirty billion, nine hundred fifty-nine million, nine hundred forty-nine thousand, six hundred thirty-two".