Search a number
-
+
181687105037 is a prime number
BaseRepresentation
bin1010100100110101100…
…1010011011000001101
3122100222002100020021102
42221031121103120031
510434043344330122
6215244345112445
716061242624454
oct2511531233015
9570862306242
10181687105037
11700646a8169
122b266788725
1314196327659
148b17cc5b9b
154ad58b1492
hex2a4d65360d

181687105037 has 2 divisors, whose sum is σ = 181687105038. Its totient is φ = 181687105036.

The previous prime is 181687105013. The next prime is 181687105057. The reversal of 181687105037 is 730501786181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165328439236 + 16358665801 = 406606^2 + 127901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-181687105037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 181687104982 and 181687105000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181687105057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90843552518 + 90843552519.

It is an arithmetic number, because the mean of its divisors is an integer number (90843552519).

Almost surely, 2181687105037 is an apocalyptic number.

It is an amenable number.

181687105037 is a deficient number, since it is larger than the sum of its proper divisors (1).

181687105037 is an equidigital number, since it uses as much as digits as its factorization.

181687105037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 47.

The spelling of 181687105037 in words is "one hundred eighty-one billion, six hundred eighty-seven million, one hundred five thousand, thirty-seven".