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130558741920 = 25345233171199
BaseRepresentation
bin111100110010111101…
…0000100110110100000
3110110222212022021110000
41321211322010312200
54114341014220140
6135551114540000
712301236665355
oct1714572046640
9413885267400
10130558741920
1150408008212
1221377a37600
13c408886059
14646779262c
1535e1e31a30
hex1e65e84da0

130558741920 has 960 divisors, whose sum is σ = 505825689600. Its totient is φ = 31614105600.

The previous prime is 130558741891. The next prime is 130558741969. The reversal of 130558741920 is 29147855031.

130558741920 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 587 + 41 + 9 + 20 = 666.

130558741920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 656073981 + ... + 656074179.

It is an arithmetic number, because the mean of its divisors is an integer number (526901760).

Almost surely, 2130558741920 is an apocalyptic number.

130558741920 is a gapful number since it is divisible by the number (10) 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 130558741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252912844800).

130558741920 is an abundant number, since it is smaller than the sum of its proper divisors (375266947680).

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

130558741920 is a wasteful number, since it uses less digits than its factorization.

130558741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 130558741920 in words is "one hundred thirty billion, five hundred fifty-eight million, seven hundred forty-one thousand, nine hundred twenty".