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18677681 = 112163947
BaseRepresentation
bin100011100111…
…1111110110001
31022010220221222
41013033332301
514240141211
61504154425
7314520611
oct107177661
938126858
1018677681
11a5a7900
126308a15
133b3c5a9
1426a2a41
15198e1db
hex11cffb1

18677681 has 12 divisors (see below), whose sum is σ = 20677776. Its totient is φ = 16857720.

The previous prime is 18677671. The next prime is 18677683.

18677681 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-18677681 is a prime.

It is a super-2 number, since 2×186776812 = 697711535075522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18677683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19250 + ... + 20196.

It is an arithmetic number, because the mean of its divisors is an integer number (1723148).

Almost surely, 218677681 is an apocalyptic number.

18677681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18677681 is a deficient number, since it is larger than the sum of its proper divisors (2000095).

18677681 is a wasteful number, since it uses less digits than its factorization.

18677681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1121 counting only the distinct ones).

The product of its digits is 112896, while the sum is 44.

The square root of 18677681 is about 4321.7682723626. The cubic root of 18677681 is about 265.3226448660.

The spelling of 18677681 in words is "eighteen million, six hundred seventy-seven thousand, six hundred eighty-one".

Divisors: 1 11 121 163 947 1793 10417 19723 114587 154361 1697971 18677681