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12263403435345 = 335321832822609
BaseRepresentation
bin1011001001110100101111…
…0011100011010101010001
31121102100222200010000122000
42302131023303203111101
53101410422234412340
642025421343504213
72404000366200156
oct262351363432521
947370880100560
1012263403435345
1139a8975595447
121460890bb8069
136ac5845c55ba
143057a257622d
15163eec7ccd30
hexb274bce3551

12263403435345 has 32 divisors (see below), whose sum is σ = 21802291257600. Its totient is φ = 6540276287232.

The previous prime is 12263403435329. The next prime is 12263403435359. The reversal of 12263403435345 is 54353430436221.

12263403435345 is a `hidden beast` number, since 1 + 2 + 2 + 634 + 0 + 3 + 4 + 3 + 5 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 12263403435345 - 24 = 12263403435329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12263403435345.

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 31 ways as a sum of consecutive naturals, for example, 2933401 + ... + 5756009.

It is an arithmetic number, because the mean of its divisors is an integer number (681321601800).

Almost surely, 212263403435345 is an apocalyptic number.

12263403435345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12263403435345 is a deficient number, since it is larger than the sum of its proper divisors (9538887822255).

12263403435345 is a wasteful number, since it uses less digits than its factorization.

12263403435345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854806 (or 2854800 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 12263403435345 in words is "twelve trillion, two hundred sixty-three billion, four hundred three million, four hundred thirty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 32183 96549 160915 289647 482745 868941 1448235 2822609 4344705 8467827 14113045 25403481 42339135 76210443 127017405 381052215 90840025447 272520076341 454200127235 817560229023 1362600381705 2452680687069 4087801145115 12263403435345