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12364266621645 = 325537371016149
BaseRepresentation
bin1011001111101100011110…
…1110000100101011001101
31121210000022222222202212200
42303323013232010223031
53110034004223343040
642144022103552113
72414201024136621
oct263730756045315
947700288882780
1012364266621645
113a37724199154
12147833ba5b639
136b8c39bac263
1430a6100cd181
151669526c1630
hexb3ec7b84acd

12364266621645 has 48 divisors (see below), whose sum is σ = 22134881761200. Its totient is φ = 6381226994688.

The previous prime is 12364266621617. The next prime is 12364266621649. The reversal of 12364266621645 is 54612666246321.

It can be written as a sum of positive squares in 8 ways, for example, as 364735068489 + 11999531553156 = 603933^2 + 3464034^2 .

It is not a de Polignac number, because 12364266621645 - 213 = 12364266613453 is a prime.

It is a super-3 number, since 3×123642666216453 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12364266621591 and 12364266621600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12364266621649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35333970 + ... + 35682179.

It is an arithmetic number, because the mean of its divisors is an integer number (461143370025).

Almost surely, 212364266621645 is an apocalyptic number.

12364266621645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12364266621645 is a deficient number, since it is larger than the sum of its proper divisors (9770615139555).

12364266621645 is a wasteful number, since it uses less digits than its factorization.

12364266621645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71016286 (or 71016283 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 12364266621645 in words is "twelve trillion, three hundred sixty-four billion, two hundred sixty-six million, six hundred twenty-one thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 53 73 159 219 265 365 477 657 795 1095 2385 3285 3869 11607 19345 34821 58035 174105 71016149 213048447 355080745 639145341 1065242235 3195726705 3763855897 5184178877 11291567691 15552536631 18819279485 25920894385 33874703073 46657609893 56457838455 77762683155 169373515365 233288049465 274761480481 824284441443 1373807402405 2472853324329 4121422207215 12364266621645