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264440621462445 = 325379145110685849
BaseRepresentation
bin111100001000000111100001…
…010011100111001110101101
31021200022021110120201202011200
4330020013201103213032231
5234130043343043244240
62334230202221040113
7106462130055150141
oct7410074123471655
91250267416652150
10264440621462445
117729370195438a
12257aa4450b6039
13b472849cc822c
144942dcc79d221
152088a92839930
hexf081e14e73ad

264440621462445 has 48 divisors (see below), whose sum is σ = 459889918488000. Its totient is φ = 140565918931200.

The previous prime is 264440621462443. The next prime is 264440621462449. The reversal of 264440621462445 is 544264126044462.

264440621462445 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 4 + 0 + 6 + 2 + 1 + 4 + 624 + 4 + 5 = 666.

264440621462445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 264440621462445 - 21 = 264440621462443 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264440621462391 and 264440621462400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264440621462443) 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, 19403881 + ... + 30089729.

It is an arithmetic number, because the mean of its divisors is an integer number (9581039968500).

Almost surely, 2264440621462445 is an apocalyptic number.

It is an amenable number.

264440621462445 is a deficient number, since it is larger than the sum of its proper divisors (195449297025555).

264440621462445 is a wasteful number, since it uses less digits than its factorization.

264440621462445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10687690 (or 10687687 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 54.

The spelling of 264440621462445 in words is "two hundred sixty-four trillion, four hundred forty billion, six hundred twenty-one million, four hundred sixty-two thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 379 1137 1451 1895 3411 4353 5685 7255 13059 17055 21765 65295 549929 1649787 2749645 4949361 8248935 10685849 24746805 32057547 53429245 96172641 160287735 480863205 4049936771 12149810313 15505166899 20249683855 36449430939 46515500697 60749051565 77525834495 139546502091 182247154695 232577503485 697732510455 5876458254721 17629374764163 29382291273605 52888124292489 88146873820815 264440621462445