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130705273056 = 253107131137709
BaseRepresentation
bin111100110111010100…
…1000011000011100000
3110111101002000211101010
41321232221003003200
54120141022214211
6140013431340520
712304666330011
oct1715651030340
9414332024333
10130705273056
11504827a0226
12213b8b21740
13c43003c077
14647d017008
1535eec284a6
hex1e6ea430e0

130705273056 has 192 divisors, whose sum is σ = 351994325760. Its totient is φ = 42459156480.

The previous prime is 130705273003. The next prime is 130705273063. The reversal of 130705273056 is 650372507031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184351230 + ... + 184351938.

It is an arithmetic number, because the mean of its divisors is an integer number (1833303780).

Almost surely, 2130705273056 is an apocalyptic number.

130705273056 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 130705273056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175997162880).

130705273056 is an abundant number, since it is smaller than the sum of its proper divisors (221289052704).

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

130705273056 is a wasteful number, since it uses less digits than its factorization.

130705273056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

It can be divided in two parts, 13070 and 5273056, that added together give a triangular number (5286126 = T3251).

The spelling of 130705273056 in words is "one hundred thirty billion, seven hundred five million, two hundred seventy-three thousand, fifty-six".