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181413686137 is a prime number
BaseRepresentation
bin1010100011110100011…
…0010010101101111001
3122100021000212010001111
42220331012102231321
510433013400424022
6215201300520321
716051412614015
oct2507506225571
9570230763044
10181413686137
116aa34329532
122b1ab0b00a1
13141517a5618
148acd871545
154abb8a3477
hex2a3d192b79

181413686137 has 2 divisors, whose sum is σ = 181413686138. Its totient is φ = 181413686136.

The previous prime is 181413686131. The next prime is 181413686159. The reversal of 181413686137 is 731686314181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132528033936 + 48885652201 = 364044^2 + 221101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-181413686137 is a prime.

It is not a weakly prime, because it can be changed into another prime (181413686131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90706843068 + 90706843069.

It is an arithmetic number, because the mean of its divisors is an integer number (90706843069).

Almost surely, 2181413686137 is an apocalyptic number.

It is an amenable number.

181413686137 is a deficient number, since it is larger than the sum of its proper divisors (1).

181413686137 is an equidigital number, since it uses as much as digits as its factorization.

181413686137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 580608, while the sum is 49.

The spelling of 181413686137 in words is "one hundred eighty-one billion, four hundred thirteen million, six hundred eighty-six thousand, one hundred thirty-seven".