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13312578192 = 243793510701
BaseRepresentation
bin11000110010111110…
…11101001010010000
31021100202222001010120
430121133131022100
5204231010000232
610040554430240
7650620022214
oct143137351220
937322861116
1013312578192
115711670041
1226b6432380
131342084a04
14904094944
1552dae792c
hex3197dd290

13312578192 has 40 divisors (see below), whose sum is σ = 34826163840. Its totient is φ = 4381353600.

The previous prime is 13312578137. The next prime is 13312578203. The reversal of 13312578192 is 29187521331.

13312578192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133125781922 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1751559 + ... + 1759142.

It is an arithmetic number, because the mean of its divisors is an integer number (870654096).

Almost surely, 213312578192 is an apocalyptic number.

13312578192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13312578192 is an abundant number, since it is smaller than the sum of its proper divisors (21513585648).

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

13312578192 is a wasteful number, since it uses less digits than its factorization.

13312578192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510791 (or 3510785 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The spelling of 13312578192 in words is "thirteen billion, three hundred twelve million, five hundred seventy-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 3510701 7021402 10532103 14042804 21064206 28085608 42128412 56171216 84256824 168513648 277345379 554690758 832036137 1109381516 1664072274 2218763032 3328144548 4437526064 6656289096 13312578192