Search a number
-
+
36936616807679 is a prime number
BaseRepresentation
bin10000110010111111110011…
…11011001000110011111111
311211210002212022222221201212
420121133321323020303333
514320132142400321204
6210320240354555035
710531403540406311
oct1031377173106377
9154702768887655
1036936616807679
1110850805285926
124186692298a7b
13177c15341ac44
14919a556997b1
15440c15c3cc6e
hex2197f9ec8cff

36936616807679 has 2 divisors, whose sum is σ = 36936616807680. Its totient is φ = 36936616807678.

The previous prime is 36936616807609. The next prime is 36936616807729. The reversal of 36936616807679 is 97670861663963.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 36936616807679 - 28 = 36936616807423 is a prime.

It is a super-2 number, since 2×369366168076792 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36936616807609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18468308403839 + 18468308403840.

It is an arithmetic number, because the mean of its divisors is an integer number (18468308403840).

Almost surely, 236936616807679 is an apocalyptic number.

36936616807679 is a deficient number, since it is larger than the sum of its proper divisors (1).

36936616807679 is an equidigital number, since it uses as much as digits as its factorization.

36936616807679 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222131968, while the sum is 77.

The spelling of 36936616807679 in words is "thirty-six trillion, nine hundred thirty-six billion, six hundred sixteen million, eight hundred seven thousand, six hundred seventy-nine".