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36506321249 is a prime number
BaseRepresentation
bin100001111111111100…
…100100000101100001
310111020012002021020012
4201333330210011201
51044231104234444
624434253054305
72431442416316
oct417774440541
9114205067205
1036506321249
1114533959532
1270a9a87395
13359a31a228
141aa45b6d0d
15e39e27b9e
hex87ff24161

36506321249 has 2 divisors, whose sum is σ = 36506321250. Its totient is φ = 36506321248.

The previous prime is 36506321221. The next prime is 36506321281. The reversal of 36506321249 is 94212360563.

36506321249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23613854224 + 12892467025 = 153668^2 + 113545^2 .

It is an emirp because it is prime and its reverse (94212360563) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36506321249 - 224 = 36489544033 is a prime.

It is a super-2 number, since 2×365063212492 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36506321549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18253160624 + 18253160625.

It is an arithmetic number, because the mean of its divisors is an integer number (18253160625).

Almost surely, 236506321249 is an apocalyptic number.

It is an amenable number.

36506321249 is a deficient number, since it is larger than the sum of its proper divisors (1).

36506321249 is an equidigital number, since it uses as much as digits as its factorization.

36506321249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 36506321249 in words is "thirty-six billion, five hundred six million, three hundred twenty-one thousand, two hundred forty-nine".