Search a number
-
+
40167710689 is a prime number
BaseRepresentation
bin100101011010001011…
…101001111111100001
310211200100122010022111
4211122023221333201
51124230413220224
630241445235321
72621251623151
oct453213517741
9124610563274
1040167710689
1116042697617
127950102b41
133a31a42862
141d30986761
1510a15b3d94
hex95a2e9fe1

40167710689 has 2 divisors, whose sum is σ = 40167710690. Its totient is φ = 40167710688.

The previous prime is 40167710621. The next prime is 40167710719. The reversal of 40167710689 is 98601776104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34447360000 + 5720350689 = 185600^2 + 75633^2 .

It is a cyclic number.

It is not a de Polignac number, because 40167710689 - 223 = 40159322081 is a prime.

It is a super-2 number, since 2×401677106892 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40167716689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20083855344 + 20083855345.

It is an arithmetic number, because the mean of its divisors is an integer number (20083855345).

Almost surely, 240167710689 is an apocalyptic number.

It is an amenable number.

40167710689 is a deficient number, since it is larger than the sum of its proper divisors (1).

40167710689 is an equidigital number, since it uses as much as digits as its factorization.

40167710689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 508032, while the sum is 49.

The spelling of 40167710689 in words is "forty billion, one hundred sixty-seven million, seven hundred ten thousand, six hundred eighty-nine".