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12685838314392 = 2338241690259
BaseRepresentation
bin1011100010011010011011…
…1000101110101110011000
31122220202100212212100000000
42320212212320232232120
53130321044102030032
642551443233213000
72446343620340625
oct270464670565630
948822325770000
1012685838314392
1140510410114a1
12150a725701160
13710366bb9ba9
1431bdd815d34c
1516eec3aa7e7c
hexb89a6e2eb98

12685838314392 has 72 divisors (see below), whose sum is σ = 35677107729900. Its totient is φ = 4228612753968.

The previous prime is 12685838314309. The next prime is 12685838314427. The reversal of 12685838314392 is 29341383858621.

12685838314392 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 583 + 8 + 3 + 1 + 43 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120792642 + ... + 120897617.

Almost surely, 212685838314392 is an apocalyptic number.

12685838314392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12685838314392 is an abundant number, since it is smaller than the sum of its proper divisors (22991269415508).

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

12685838314392 is an frugal number, since it uses more digits than its factorization.

12685838314392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241690289 (or 241690264 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 12685838314392 in words is "twelve trillion, six hundred eighty-five billion, eight hundred thirty-eight million, three hundred fourteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 26244 52488 241690259 483380518 725070777 966761036 1450141554 1933522072 2175212331 2900283108 4350424662 5800566216 6525636993 8700849324 13051273986 17401698648 19576910979 26102547972 39153821958 52205095944 58730732937 78307643916 117461465874 156615287832 176192198811 234922931748 352384397622 469845863496 528576596433 704768795244 1057153192866 1409537590488 1585729789299 2114306385732 3171459578598 4228612771464 6342919157196 12685838314392