Search a number
-
+
18945677654981 = 7114310156653871
BaseRepresentation
bin1000100111011001000100…
…11000101111101111000101
32111002012002211222000212022
410103230202120233233011
54440401221434424411
6104143305115132525
73663531360660050
oct423544230575705
974065084860768
1018945677654981
1160448a913a330
12215b971144145
13a7575393439c
14496d93421a97
1522cc4957eedb
hex113b2262fbc5

18945677654981 has 32 divisors (see below), whose sum is σ = 24409207443456. Its totient is φ = 14276775240000.

The previous prime is 18945677654963. The next prime is 18945677654993.

18945677654981 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18945677654981 - 214 = 18945677638597 is a prime.

It is a super-2 number, since 2×189456776549812 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18945677654896 and 18945677654905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18945677654381) 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 31 ways as a sum of consecutive naturals, for example, 27992525 + ... + 28661346.

It is an arithmetic number, because the mean of its divisors is an integer number (762787732608).

Almost surely, 218945677654981 is an apocalyptic number.

18945677654981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18945677654981 is a deficient number, since it is larger than the sum of its proper divisors (5463529788475).

18945677654981 is a wasteful number, since it uses less digits than its factorization.

18945677654981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56654033.

The product of its digits is 3657830400, while the sum is 80.

The spelling of 18945677654981 in words is "eighteen trillion, nine hundred forty-five billion, six hundred seventy-seven million, six hundred fifty-four thousand, nine hundred eighty-one".

Divisors: 1 7 11 43 77 101 301 473 707 1111 3311 4343 7777 30401 47773 334411 56653871 396577097 623192581 2436116453 4362348067 5722040971 17052815171 26797280983 40054286797 62942450681 187580966881 246047761753 440597154767 1722334332271 2706525379283 18945677654981