Search a number
-
+
36737870129 is a prime number
BaseRepresentation
bin100010001101101111…
…110110100100110001
310111211022210011120122
4202031233312210301
51100214343321004
624513244020025
72440253513042
oct421557664461
9114738704518
1036737870129
111464262a644
127153531615
13360629c4bc
141ac724c8c9
15e50414cbe
hex88dbf6931

36737870129 has 2 divisors, whose sum is σ = 36737870130. Its totient is φ = 36737870128.

The previous prime is 36737870119. The next prime is 36737870137. The reversal of 36737870129 is 92107873763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24254947600 + 12482922529 = 155740^2 + 111727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36737870129 is a prime.

It is a super-2 number, since 2×367378701292 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (36737870119) 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 as a sum of consecutive naturals, namely, 18368935064 + 18368935065.

It is an arithmetic number, because the mean of its divisors is an integer number (18368935065).

Almost surely, 236737870129 is an apocalyptic number.

It is an amenable number.

36737870129 is a deficient number, since it is larger than the sum of its proper divisors (1).

36737870129 is an equidigital number, since it uses as much as digits as its factorization.

36737870129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2667168, while the sum is 53.

The spelling of 36737870129 in words is "thirty-six billion, seven hundred thirty-seven million, eight hundred seventy thousand, one hundred twenty-nine".