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12468804995313 = 33737793811771
BaseRepresentation
bin1011010101110001111010…
…1100010100100011110001
31122011000011110101101102000
42311130132230110203301
53113242103034322223
642304031232044213
72424561416511342
oct265343654244361
948130143341360
1012468804995313
113a77a993a4597
121494655693669
136c5a59a0c9b4
143116c9ba80c9
15169520079543
hexb571eb148f1

12468804995313 has 32 divisors (see below), whose sum is σ = 18727774865280. Its totient is φ = 8197604144640.

The previous prime is 12468804995293. The next prime is 12468804995327. The reversal of 12468804995313 is 31359940886421.

12468804995313 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 8 + 8 + 0 + 4 + 99 + 531 + 3 = 666.

12468804995313 is an astonishing number since 12468804995313 = 124688 + ... + 4995313.

It is not a de Polignac number, because 12468804995313 - 25 = 12468804995281 is a prime.

It is a super-2 number, since 2×124688049953132 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12468804995113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14954118 + ... + 15765888.

It is an arithmetic number, because the mean of its divisors is an integer number (585242964540).

Almost surely, 212468804995313 is an apocalyptic number.

It is an amenable number.

12468804995313 is a deficient number, since it is larger than the sum of its proper divisors (6258969869967).

12468804995313 is an equidigital number, since it uses as much as digits as its factorization.

12468804995313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819646 (or 819640 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 12468804995313 in words is "twelve trillion, four hundred sixty-eight billion, eight hundred four million, nine hundred ninety-five thousand, three hundred thirteen".

Divisors: 1 3 9 27 73 219 657 1971 7793 23379 70137 210411 568889 811771 1706667 2435313 5120001 7305939 15360003 21917817 59259283 177777849 533333547 1600000641 6326131403 18978394209 56935182627 170805547881 461807592419 1385422777257 4156268331771 12468804995313