Search a number
-
+
91625652836129 is a prime number
BaseRepresentation
bin10100110101010101000010…
…011111010101011100100001
3110000102022211021200212001102
4110311111002133111130201
544002143314111224004
6522512124355444145
725204510043551466
oct2465250237253441
9400368737625042
1091625652836129
1127216248394065
12a3397b98b6655
133c18353784b39
14188a9c333566d
15a8d5d80db11e
hex5355427d5721

91625652836129 has 2 divisors, whose sum is σ = 91625652836130. Its totient is φ = 91625652836128.

The previous prime is 91625652836077. The next prime is 91625652836197. The reversal of 91625652836129 is 92163825652619.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48646509837025 + 42979142999104 = 6974705^2 + 6555848^2 .

It is a cyclic number.

It is not a de Polignac number, because 91625652836129 - 212 = 91625652832033 is a prime.

It is a super-2 number, since 2×916256528361292 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (91625652736129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45812826418064 + 45812826418065.

It is an arithmetic number, because the mean of its divisors is an integer number (45812826418065).

Almost surely, 291625652836129 is an apocalyptic number.

It is an amenable number.

91625652836129 is a deficient number, since it is larger than the sum of its proper divisors (1).

91625652836129 is an equidigital number, since it uses as much as digits as its factorization.

91625652836129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 83980800, while the sum is 65.

The spelling of 91625652836129 in words is "ninety-one trillion, six hundred twenty-five billion, six hundred fifty-two million, eight hundred thirty-six thousand, one hundred twenty-nine".