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130685536008 = 23322293791573
BaseRepresentation
bin111100110110101110…
…1110000011100001000
3110111022200220002020100
41321231131300130020
54120120444123013
6140011444325400
712304336504416
oct1715535603410
9414280802210
10130685536008
115047263a515
12213b23a3860
13c428c1b541
14647a55a2b6
1535ed12a473
hex1e6d770708

130685536008 has 48 divisors (see below), whose sum is σ = 354094797420. Its totient is φ = 43542792576.

The previous prime is 130685535979. The next prime is 130685536019. The reversal of 130685536008 is 800635586031.

130685536008 is a `hidden beast` number, since 1 + 30 + 6 + 8 + 5 + 5 + 3 + 600 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129241688004 + 1443848004 = 359502^2 + 37998^2 .

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 11 ways as a sum of consecutive naturals, for example, 230691 + ... + 560882.

Almost surely, 2130685536008 is an apocalyptic number.

130685536008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130685536008 is an abundant number, since it is smaller than the sum of its proper divisors (223409261412).

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

130685536008 is a wasteful number, since it uses less digits than its factorization.

130685536008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793878 (or 793871 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 130685536008 in words is "one hundred thirty billion, six hundred eighty-five million, five hundred thirty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2293 4586 6879 9172 13758 18344 20637 27516 41274 55032 82548 165096 791573 1583146 2374719 3166292 4749438 6332584 7124157 9498876 14248314 18997752 28496628 56993256 1815076889 3630153778 5445230667 7260307556 10890461334 14520615112 16335692001 21780922668 32671384002 43561845336 65342768004 130685536008