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18768618855 = 3257193135943
BaseRepresentation
bin10001011110101100…
…100110010101100111
31210110000110121212200
4101132230212111213
5301414231300410
612342220345543
71233050425260
oct213654462547
953400417780
1018768618855
117a6143a158
1237796a52b3
131a0154693c
14ca0947967
1574cad23c0
hex45eb26567

18768618855 has 48 divisors (see below), whose sum is σ = 39136581120. Its totient is φ = 8128361664.

The previous prime is 18768618821. The next prime is 18768618857. The reversal of 18768618855 is 55881686781.

18768618855 is a `hidden beast` number, since 1 + 8 + 7 + 6 + 8 + 618 + 8 + 5 + 5 = 666.

It is not a de Polignac number, because 18768618855 - 29 = 18768618343 is a prime.

It is a super-2 number, since 2×187686188552 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 18768618792 and 18768618801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18768618857) by changing a digit.

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, 1561987 + ... + 1573956.

It is an arithmetic number, because the mean of its divisors is an integer number (815345440).

Almost surely, 218768618855 is an apocalyptic number.

18768618855 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18768618855 is an abundant number, since it is smaller than the sum of its proper divisors (20367962265).

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

18768618855 is a wasteful number, since it uses less digits than its factorization.

18768618855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135980 (or 3135977 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 63.

The spelling of 18768618855 in words is "eighteen billion, seven hundred sixty-eight million, six hundred eighteen thousand, eight hundred fifty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 3135943 9407829 15679715 21951601 28223487 47039145 59582917 65854803 109758005 141117435 178748751 197564409 297914585 329274015 417080419 536246253 893743755 987822045 1251241257 2085402095 2681231265 3753723771 6256206285 18768618855