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12456731766645 = 3251731600093997
BaseRepresentation
bin1011010101000100111100…
…0100100110111101110101
31122002212000001110211012200
42311101033010212331311
53113042341313013040
642254313224535113
72423653265663055
oct265211704467565
948085001424180
1012456731766645
113a72963377161
121492246321499
136c4884648bca
14310ca2567565
15169065191630
hexb544f126f75

12456731766645 has 24 divisors (see below), whose sum is σ = 21716475740856. Its totient is φ = 6605188015488.

The previous prime is 12456731766641. The next prime is 12456731766727. The reversal of 12456731766645 is 54666713765421.

It can be written as a sum of positive squares in 4 ways, for example, as 3934121505444 + 8522610261201 = 1983462^2 + 2919351^2 .

It is not a de Polignac number, because 12456731766645 - 22 = 12456731766641 is a prime.

It is a super-2 number, since 2×124567317666452 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12456731766641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800039214 + ... + 800054783.

It is an arithmetic number, because the mean of its divisors is an integer number (904853155869).

Almost surely, 212456731766645 is an apocalyptic number.

12456731766645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12456731766645 is a deficient number, since it is larger than the sum of its proper divisors (9259743974211).

12456731766645 is a wasteful number, since it uses less digits than its factorization.

12456731766645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600094181 (or 1600094178 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 12456731766645 in words is "twelve trillion, four hundred fifty-six billion, seven hundred thirty-one million, seven hundred sixty-six thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 173 519 865 1557 2595 7785 1600093997 4800281991 8000469985 14400845973 24001409955 72004229865 276816261481 830448784443 1384081307405 2491346353329 4152243922215 12456731766645