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36631406341 is a prime number
BaseRepresentation
bin100010000111011001…
…101110011100000101
310111112220110020201101
4202013121232130011
51100010120000331
624454522100101
72434521550015
oct420731563405
9114486406641
1036631406341
1114598523842
12712394a631
1335ba20488a
141ab7057c45
15e45dd5061
hex88766e705

36631406341 has 2 divisors, whose sum is σ = 36631406342. Its totient is φ = 36631406340.

The previous prime is 36631406327. The next prime is 36631406377. The reversal of 36631406341 is 14360413663.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22046013441 + 14585392900 = 148479^2 + 120770^2 .

It is an emirp because it is prime and its reverse (14360413663) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36631406341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36631406341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36631406741) 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, 18315703170 + 18315703171.

It is an arithmetic number, because the mean of its divisors is an integer number (18315703171).

Almost surely, 236631406341 is an apocalyptic number.

It is an amenable number.

36631406341 is a deficient number, since it is larger than the sum of its proper divisors (1).

36631406341 is an equidigital number, since it uses as much as digits as its factorization.

36631406341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 36631406341 in words is "thirty-six billion, six hundred thirty-one million, four hundred six thousand, three hundred forty-one".