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130717931904 = 27327217179761
BaseRepresentation
bin111100110111101100…
…1010101100110000000
3110111101221211222001100
41321233121111212000
54120202242310104
6140015002534400
712305212042200
oct1715731254600
9414357758040
10130717931904
1150489956a8a
1221401207400
13c432851c01
146480990400
153600dc9139
hex1e6f655980

130717931904 has 576 divisors, whose sum is σ = 466507220400. Its totient is φ = 34908733440.

The previous prime is 130717931879. The next prime is 130717931947. The reversal of 130717931904 is 409139717031.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 130717931904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171770884 + ... + 171771644.

Almost surely, 2130717931904 is an apocalyptic number.

130717931904 is a gapful number since it is divisible by the number (14) 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 130717931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233253610200).

130717931904 is an abundant number, since it is smaller than the sum of its proper divisors (335789288496).

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

130717931904 is a wasteful number, since it uses less digits than its factorization.

130717931904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 130717931904 in words is "one hundred thirty billion, seven hundred seventeen million, nine hundred thirty-one thousand, nine hundred four".