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36349545431 is a prime number
BaseRepresentation
bin100001110110100110…
…100000101111010111
310110211021002020020102
4201312212200233113
51043420440423211
624410532524315
72424530016053
oct416646405727
9113737066212
1036349545431
1114463409541
12706548069b
1335739b8184
141a8b846c63
15e2b2aaa3b
hex8769a0bd7

36349545431 has 2 divisors, whose sum is σ = 36349545432. Its totient is φ = 36349545430.

The previous prime is 36349545377. The next prime is 36349545433. The reversal of 36349545431 is 13454594363.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36349545431 is a prime.

It is a super-3 number, since 3×363495454313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 36349545433, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36349545433) 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, 18174772715 + 18174772716.

It is an arithmetic number, because the mean of its divisors is an integer number (18174772716).

Almost surely, 236349545431 is an apocalyptic number.

36349545431 is a deficient number, since it is larger than the sum of its proper divisors (1).

36349545431 is an equidigital number, since it uses as much as digits as its factorization.

36349545431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2332800, while the sum is 47.

The spelling of 36349545431 in words is "thirty-six billion, three hundred forty-nine million, five hundred forty-five thousand, four hundred thirty-one".