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27108466912818 = 23217372394317869
BaseRepresentation
bin1100010100111101011101…
…00010100110111000110010
310112222112200200001120011100
412022132232202212320302
512023121120012202233
6133353242514025230
75465344036600464
oct612365642467062
9115875620046140
1027108466912818
1187016aa946395
123059976878216
131218418600a85
1469a0b1c00134
15320247c99813
hex18a7ae8a6e32

27108466912818 has 48 divisors (see below), whose sum is σ = 63870823500120. Its totient is φ = 8274762551808.

The previous prime is 27108466912783. The next prime is 27108466912819. The reversal of 27108466912818 is 81821966480172.

27108466912818 is a `hidden beast` number, since 2 + 7 + 1 + 0 + 8 + 466 + 91 + 2 + 81 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25474500389529 + 1633966523289 = 5047227^2 + 1278267^2 .

It is a super-2 number, since 2×271084669128182 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27108466912819) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1197147613 + ... + 1197170256.

Almost surely, 227108466912818 is an apocalyptic number.

27108466912818 is an abundant number, since it is smaller than the sum of its proper divisors (36762356587302).

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

27108466912818 is a wasteful number, since it uses less digits than its factorization.

27108466912818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394317931 (or 2394317928 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 27108466912818 in words is "twenty-seven trillion, one hundred eight billion, four hundred sixty-six million, nine hundred twelve thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 2394317869 4788635738 7182953607 14365907214 21548860821 40703403773 43097721642 81406807546 88589761153 122110211319 177179522306 244220422638 265769283459 366330633957 531538566918 732661267914 797307850377 1506025939601 1594615700754 3012051879202 4518077818803 9036155637606 13554233456409 27108466912818