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18977766777981 = 3211883217094693
BaseRepresentation
bin1000101000010100110110…
…00011000010010001111101
32111012020221012022101020100
410110022123003002101331
54441412431243343411
6104210133220311313
73666045516011364
oct424123303022175
974166835271210
1018977766777981
1160574756623a0
122166027842539
13a78798a7952b
144987590c47db
1522d9c67c3456
hex11429b0c247d

18977766777981 has 24 divisors (see below), whose sum is σ = 29938226681376. Its totient is φ = 11488651100640.

The previous prime is 18977766777967. The next prime is 18977766778021.

18977766777981 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18977766777981 - 210 = 18977766776957 is a prime.

It is a super-2 number, since 2×189777667779812 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18977766777891 and 18977766777900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18977766777881) 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 23 ways as a sum of consecutive naturals, for example, 108459930 + ... + 108634763.

It is an arithmetic number, because the mean of its divisors is an integer number (1247426111724).

Almost surely, 218977766777981 is an apocalyptic number.

18977766777981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18977766777981 is a deficient number, since it is larger than the sum of its proper divisors (10960459903395).

18977766777981 is a wasteful number, since it uses less digits than its factorization.

18977766777981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217095593 (or 217095590 counting only the distinct ones).

The product of its digits is 21956126976, while the sum is 90.

The spelling of 18977766777981 in words is "eighteen trillion, nine hundred seventy-seven billion, seven hundred sixty-six million, seven hundred seventy-seven thousand, nine hundred eighty-one".

Divisors: 1 3 9 11 33 99 883 2649 7947 9713 29139 87417 217094693 651284079 1953852237 2388041623 7164124869 21492374607 191694613919 575083841757 1725251525271 2108640753109 6325922259327 18977766777981