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5056444305 = 3351110133713
BaseRepresentation
bin1001011010110001…
…10011011110010001
3111001101120222121000
410231120303132101
540323422204210
62153425052213
7236206032063
oct45530633621
914041528530
105056444305
11216525a4a0
12b91487069
136277622a3
1435d795733
151e8da5ac0
hex12d633791

5056444305 has 64 divisors (see below), whose sum is σ = 9903824640. Its totient is φ = 2427264000.

The previous prime is 5056444297. The next prime is 5056444319. The reversal of 5056444305 is 5034446505.

5056444305 is a `hidden beast` number, since 5 + 0 + 5 + 644 + 4 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 5056444305 - 23 = 5056444297 is a prime.

It is a super-3 number, since 3×50564443053 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5056444305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133129 + ... + 166841.

It is an arithmetic number, because the mean of its divisors is an integer number (154747260).

Almost surely, 25056444305 is an apocalyptic number.

5056444305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5056444305 is a deficient number, since it is larger than the sum of its proper divisors (4847380335).

5056444305 is a wasteful number, since it uses less digits than its factorization.

5056444305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33839 (or 33833 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5056444305 is about 71108.6795335141. The cubic root of 5056444305 is about 1716.3864447033.

The spelling of 5056444305 in words is "five billion, fifty-six million, four hundred forty-four thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 101 135 165 297 303 495 505 909 1111 1485 1515 2727 3333 4545 5555 9999 13635 16665 29997 33713 49995 101139 149985 168565 303417 370843 505695 910251 1112529 1517085 1854215 3337587 3405013 4551255 5562645 10012761 10215039 16687935 17025065 30645117 37455143 50063805 51075195 91935351 112365429 153225585 187275715 337096287 459676755 561827145 1011288861 1685481435 5056444305