Search a number
-
+
55332655615305 = 3256134297587737
BaseRepresentation
bin11001001010011001000110…
…10010000100110101001001
321020220202020220111120000200
430211030203102010311021
524223032234314142210
6313403245430122413
714440436534311305
oct1445144322046511
9236822226446020
1055332655615305
11166a34a1636a72
126257a0a4b0409
1324b4b01c24123
14d941870d8d05
1565e4e18830c0
hex325323484d49

55332655615305 has 48 divisors (see below), whose sum is σ = 97485238600464. Its totient is φ = 29026071152640.

The previous prime is 55332655615273. The next prime is 55332655615339. The reversal of 55332655615305 is 50351655623355.

55332655615305 is a `hidden beast` number, since 5 + 5 + 3 + 3 + 26 + 5 + 561 + 53 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 47913707664 + 55284741907641 = 218892^2 + 7435371^2 .

It is not a de Polignac number, because 55332655615305 - 25 = 55332655615273 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93851397 + ... + 94439133.

It is an arithmetic number, because the mean of its divisors is an integer number (2030942470843).

Almost surely, 255332655615305 is an apocalyptic number.

It is an amenable number.

55332655615305 is a deficient number, since it is larger than the sum of its proper divisors (42152582985159).

55332655615305 is a wasteful number, since it uses less digits than its factorization.

55332655615305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622106 (or 622103 counting only the distinct ones).

The product of its (nonzero) digits is 30375000, while the sum is 54.

The spelling of 55332655615305 in words is "fifty-five trillion, three hundred thirty-two billion, six hundred fifty-five million, six hundred fifteen thousand, three hundred five".

Divisors: 1 3 5 9 15 45 61 183 305 549 915 2745 34297 102891 171485 308673 514455 587737 1543365 1763211 2092117 2938685 5289633 6276351 8816055 10460585 18829053 26448165 31381755 35851957 94145265 107555871 179259785 322667613 537779355 1613338065 20157615889 60472847667 100788079445 181418543001 302364238335 907092715005 1229614569229 3688843707687 6148072846145 11066531123061 18444218538435 55332655615305