Search a number
-
+
18106124481 = 34149512
BaseRepresentation
bin10000110111001101…
…011000100011000001
31201201211212102110000
4100313031120203001
5244040131440411
612152353030213
71210454342634
oct206715304301
951654772400
1018106124481
117751487345
123613855369
131927209933
14c3a973c1b
1570e86c956
hex4373588c1

18106124481 has 15 divisors (see below), whose sum is σ = 27049229713. Its totient is φ = 12069942300.

The previous prime is 18106124453. The next prime is 18106124507. The reversal of 18106124481 is 18442160181.

The square root of 18106124481 is 134559.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 18106124481 - 213 = 18106116289 is a prime.

It is a super-2 number, since 2×181061244812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18106122481) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1203556 + ... + 1218506.

Almost surely, 218106124481 is an apocalyptic number.

18106124481 is the 134559-th square number.

18106124481 is the 67280-th centered octagonal number.

It is an amenable number.

18106124481 is a deficient number, since it is larger than the sum of its proper divisors (8943105232).

18106124481 is an frugal number, since it uses more digits than its factorization.

18106124481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29914 (or 14954 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Multiplying 18106124481 by its sum of digits (36), we get a square (651820481316 = 8073542).

The spelling of 18106124481 in words is "eighteen billion, one hundred six million, one hundred twenty-four thousand, four hundred eighty-one".

Divisors: 1 3 9 27 81 14951 44853 134559 403677 1211031 223532401 670597203 2011791609 6035374827 18106124481