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55311110085 = 35721117938219
BaseRepresentation
bin110011100000110011…
…001000111111000101
312021202201121111222210
4303200303020333011
51401234121010320
641224245014033
73665442451500
oct634063107705
9167681544883
1055311110085
1121503752730
12a8776b4319
1352a61b930a
142969c58137
15168aca20e0
hexce0cc8fc5

55311110085 has 96 divisors (see below), whose sum is σ = 112935513600. Its totient is φ = 22857421440.

The previous prime is 55311110081. The next prime is 55311110117. The reversal of 55311110085 is 58001111355.

55311110085 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 55311110085 - 22 = 55311110081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55311110081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1428106 + ... + 1466324.

It is an arithmetic number, because the mean of its divisors is an integer number (1176411600).

Almost surely, 255311110085 is an apocalyptic number.

55311110085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55311110085 is an abundant number, since it is smaller than the sum of its proper divisors (57624403515).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55311110085 is a wasteful number, since it uses less digits than its factorization.

55311110085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38431 (or 38424 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

The spelling of 55311110085 in words is "fifty-five billion, three hundred eleven million, one hundred ten thousand, eighty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 179 231 245 385 537 539 735 895 1155 1253 1617 1969 2685 2695 3759 5907 6265 8085 8771 9845 13783 18795 26313 29535 38219 41349 43855 68915 96481 114657 131565 191095 206745 267533 289443 420409 482405 573285 802599 1261227 1337665 1447215 1872731 2102045 2942863 4012995 5618193 6306135 6841201 8828589 9363655 14714315 20523603 20600041 28090965 34206005 44142945 47888407 61800123 75253211 102618015 103000205 143665221 225759633 239442035 309000615 335218849 376266055 526772477 718326105 1005656547 1128798165 1580317431 1676094245 2633862385 3687407339 5028282735 7901587155 11062222017 18437036695 55311110085