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130613608320 = 27351311346309
BaseRepresentation
bin111100110100100101…
…1010111111110000000
3110111010200112202222220
41321221023113332000
54114444040431240
6140000354531040
712302504231616
oct1715113277600
9414120482886
10130613608320
1150435a82148
1221392296a80
13c417056490
146470b956b6
1535e6b6d5d0
hex1e692d7f80

130613608320 has 256 divisors, whose sum is σ = 452333851200. Its totient is φ = 31865831424.

The previous prime is 130613608319. The next prime is 130613608331. The reversal of 130613608320 is 23806316031.

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, 2797326 + ... + 2843634.

Almost surely, 2130613608320 is an apocalyptic number.

130613608320 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 130613608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226166925600).

130613608320 is an abundant number, since it is smaller than the sum of its proper divisors (321720242880).

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

130613608320 is a wasteful number, since it uses less digits than its factorization.

130613608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46457 (or 46445 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 130613608320 in words is "one hundred thirty billion, six hundred thirteen million, six hundred eight thousand, three hundred twenty".