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1364123266805 = 513611562922013
BaseRepresentation
bin10011110110011100000…
…101010010111011110101
311211102001002120220200202
4103312130011102323311
5134322211024014210
62522400343450245
7200361150311165
oct23663405227365
94742032526622
101364123266805
11486581026672
121a0462156985
139b836b74b70
144a0498bc5a5
152573d64b9a5
hex13d9c152ef5

1364123266805 has 32 divisors (see below), whose sum is σ = 1791962494560. Its totient is φ = 990730183680.

The previous prime is 1364123266787. The next prime is 1364123266811. The reversal of 1364123266805 is 5086623214631.

It can be written as a sum of positive squares in 16 ways, for example, as 297201606244 + 1066921660561 = 545162^2 + 1032919^2 .

It is not a de Polignac number, because 1364123266805 - 28 = 1364123266549 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 1364123266805.

It is a congruent number.

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, 61957979 + ... + 61979991.

It is an arithmetic number, because the mean of its divisors is an integer number (55998827955).

Almost surely, 21364123266805 is an apocalyptic number.

It is an amenable number.

1364123266805 is a deficient number, since it is larger than the sum of its proper divisors (427839227755).

1364123266805 is a wasteful number, since it uses less digits than its factorization.

1364123266805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37721.

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 1364123266805 in words is "one trillion, three hundred sixty-four billion, one hundred twenty-three million, two hundred sixty-six thousand, eight hundred five".

Divisors: 1 5 13 61 65 305 793 3965 15629 22013 78145 110065 203177 286169 953369 1015885 1342793 1430845 4766845 6713965 12393797 17456309 61968985 87281545 344041177 1720205885 4472535301 20986511797 22362676505 104932558985 272824653361 1364123266805