Search a number
-
+
36942568047013 is a prime number
BaseRepresentation
bin10000110011001010111001…
…01001010100000110100101
311211210200020002022020100111
420121211130221110012211
514320231334410001023
6210323103110413021
710532004163201306
oct1031453451240645
9154720202266314
1036942568047013
1110853289632042
124187873361171
13177c891373735
1491a05bc147ad
15440e6344300d
hex21995ca541a5

36942568047013 has 2 divisors, whose sum is σ = 36942568047014. Its totient is φ = 36942568047012.

The previous prime is 36942568046971. The next prime is 36942568047023. The reversal of 36942568047013 is 31074086524963.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26925482306529 + 10017085740484 = 5188977^2 + 3164978^2 .

It is an emirp because it is prime and its reverse (31074086524963) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36942568047013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36942568047023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18471284023506 + 18471284023507.

It is an arithmetic number, because the mean of its divisors is an integer number (18471284023507).

It is a 2-persistent number, because it is pandigital, and so is 2⋅36942568047013 = 73885136094026, but 3⋅36942568047013 = 110827704141039 is not.

Almost surely, 236942568047013 is an apocalyptic number.

It is an amenable number.

36942568047013 is a deficient number, since it is larger than the sum of its proper divisors (1).

36942568047013 is an equidigital number, since it uses as much as digits as its factorization.

36942568047013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 36942568047013 in words is "thirty-six trillion, nine hundred forty-two billion, five hundred sixty-eight million, forty-seven thousand, thirteen".