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36967575341 is a prime number
BaseRepresentation
bin100010011011011100…
…000110111100101101
310112102100000101220002
4202123130012330231
51101202144402331
624552131234045
72446043130404
oct423334067455
9115370011802
1036967575341
1114750261564
1271b8448925
133641a57548
141b0996463b
15e6568a9cb
hex89b706f2d

36967575341 has 2 divisors, whose sum is σ = 36967575342. Its totient is φ = 36967575340.

The previous prime is 36967575331. The next prime is 36967575347. The reversal of 36967575341 is 14357576963.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35477229316 + 1490346025 = 188354^2 + 38605^2 .

It is an emirp because it is prime and its reverse (14357576963) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36967575341 - 234 = 19787706157 is a prime.

It is a super-2 number, since 2×369675753412 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36967575347) 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, 18483787670 + 18483787671.

It is an arithmetic number, because the mean of its divisors is an integer number (18483787671).

Almost surely, 236967575341 is an apocalyptic number.

It is an amenable number.

36967575341 is a deficient number, since it is larger than the sum of its proper divisors (1).

36967575341 is an equidigital number, since it uses as much as digits as its factorization.

36967575341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14288400, while the sum is 56.

The spelling of 36967575341 in words is "thirty-six billion, nine hundred sixty-seven million, five hundred seventy-five thousand, three hundred forty-one".