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36783827413 is a prime number
BaseRepresentation
bin100010010000011111…
…001010100111010101
310111221112021001010021
4202100133022213111
51100313124434123
624522005025141
72441352242224
oct422037124725
9114845231107
1036783827413
1114666569a73
1271669b51b1
133612970768
141acd3b2cbb
15e54491c5d
hex8907ca9d5

36783827413 has 2 divisors, whose sum is σ = 36783827414. Its totient is φ = 36783827412.

The previous prime is 36783827407. The next prime is 36783827417. The reversal of 36783827413 is 31472838763.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21580197604 + 15203629809 = 146902^2 + 123303^2 .

It is an emirp because it is prime and its reverse (31472838763) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36783827413 - 213 = 36783819221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36783827417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18391913706 + 18391913707.

It is an arithmetic number, because the mean of its divisors is an integer number (18391913707).

Almost surely, 236783827413 is an apocalyptic number.

It is an amenable number.

36783827413 is a deficient number, since it is larger than the sum of its proper divisors (1).

36783827413 is an equidigital number, since it uses as much as digits as its factorization.

36783827413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4064256, while the sum is 52.

The spelling of 36783827413 in words is "thirty-six billion, seven hundred eighty-three million, eight hundred twenty-seven thousand, four hundred thirteen".