Search a number
-
+
10040670037 is a prime number
BaseRepresentation
bin10010101100111100…
…00111011101010101
3221220202021212221001
421112132013131111
5131030402420122
64340154223301
7503550200326
oct112636073525
927822255831
1010040670037
114292773012
121b42724b31
13c40259c98
146b370c44d
153db743527
hex256787755

10040670037 has 2 divisors, whose sum is σ = 10040670038. Its totient is φ = 10040670036.

The previous prime is 10040669993. The next prime is 10040670043. The reversal of 10040670037 is 73007604001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9699492196 + 341177841 = 98486^2 + 18471^2 .

It is an emirp because it is prime and its reverse (73007604001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10040670037 - 223 = 10032281429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10040669987 and 10040670014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10040670077) 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, 5020335018 + 5020335019.

It is an arithmetic number, because the mean of its divisors is an integer number (5020335019).

Almost surely, 210040670037 is an apocalyptic number.

It is an amenable number.

10040670037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10040670037 is an equidigital number, since it uses as much as digits as its factorization.

10040670037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 10040670037 in words is "ten billion, forty million, six hundred seventy thousand, thirty-seven".