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36364000061 is a prime number
BaseRepresentation
bin100001110111011101…
…101001101100111101
310110212021021121021002
4201313131221230331
51043433141000221
624412210420045
72425063620614
oct416735515475
9113767247232
1036364000061
1114470591514
12706a291625
1335769a94cc
141a8d72a87b
15e2c6b380b
hex877769b3d

36364000061 has 2 divisors, whose sum is σ = 36364000062. Its totient is φ = 36364000060.

The previous prime is 36363999977. The next prime is 36364000069. The reversal of 36364000061 is 16000046363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34330531225 + 2033468836 = 185285^2 + 45094^2 .

It is a cyclic number.

It is not a de Polignac number, because 36364000061 - 234 = 19184130877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36363999988 and 36364000033.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36364000069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18182000030 + 18182000031.

It is an arithmetic number, because the mean of its divisors is an integer number (18182000031).

Almost surely, 236364000061 is an apocalyptic number.

It is an amenable number.

36364000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

36364000061 is an equidigital number, since it uses as much as digits as its factorization.

36364000061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 36364000061 in words is "thirty-six billion, three hundred sixty-four million, sixty-one", and thus it is an aban number.