Search a number
-
+
36357532993 is a prime number
BaseRepresentation
bin100001110111000100…
…111110110101000001
310110211211010001010001
4201313010332311001
51043430012023433
624411420040001
72424654634315
oct416704766501
9113754101101
1036357532993
1114467974731
127068093001
133575553a42
141a8c925b45
15e2bd3757d
hex87713ed41

36357532993 has 2 divisors, whose sum is σ = 36357532994. Its totient is φ = 36357532992.

The previous prime is 36357532963. The next prime is 36357533027. The reversal of 36357532993 is 39923575363.

36357532993 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., 36289107009 + 68425984 = 190497^2 + 8272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36357532993 is a prime.

It is not a weakly prime, because it can be changed into another prime (36357532943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18178766496 + 18178766497.

It is an arithmetic number, because the mean of its divisors is an integer number (18178766497).

Almost surely, 236357532993 is an apocalyptic number.

It is an amenable number.

36357532993 is a deficient number, since it is larger than the sum of its proper divisors (1).

36357532993 is an equidigital number, since it uses as much as digits as its factorization.

36357532993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13778100, while the sum is 55.

The spelling of 36357532993 in words is "thirty-six billion, three hundred fifty-seven million, five hundred thirty-two thousand, nine hundred ninety-three".