Search a number
-
+
36623100581 is a prime number
BaseRepresentation
bin100010000110111010…
…000010101010100101
310111112022211021100122
4202012322002222211
51100001003204311
624454024051325
72434361134664
oct420672025245
9114468737318
1036623100581
1114593870581
127121003b45
1335b8587222
141ab5cd4ddb
15e452e40db
hex886e82aa5

36623100581 has 2 divisors, whose sum is σ = 36623100582. Its totient is φ = 36623100580.

The previous prime is 36623100523. The next prime is 36623100587. The reversal of 36623100581 is 18500132663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18951652225 + 17671448356 = 137665^2 + 132934^2 .

It is a cyclic number.

It is not a de Polignac number, because 36623100581 - 222 = 36618906277 is a prime.

It is a super-2 number, since 2×366231005812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36623100587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18311550290 + 18311550291.

It is an arithmetic number, because the mean of its divisors is an integer number (18311550291).

Almost surely, 236623100581 is an apocalyptic number.

It is an amenable number.

36623100581 is a deficient number, since it is larger than the sum of its proper divisors (1).

36623100581 is an equidigital number, since it uses as much as digits as its factorization.

36623100581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 36623100581 in words is "thirty-six billion, six hundred twenty-three million, one hundred thousand, five hundred eighty-one".