Search a number
-
+
12417953153 is a prime number
BaseRepresentation
bin10111001000010101…
…01110110110000001
31012001102120101021212
423210022232312001
5200412444000103
65412115455505
7616504601024
oct134412566601
935042511255
1012417953153
1152a267a001
1224a68b7595
13122b920998
1485b3371bb
154ca2cd7d8
hex2e42aed81

12417953153 has 2 divisors, whose sum is σ = 12417953154. Its totient is φ = 12417953152.

The previous prime is 12417953117. The next prime is 12417953201. The reversal of 12417953153 is 35135971421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11999668849 + 418284304 = 109543^2 + 20452^2 .

It is a cyclic number.

It is not a de Polignac number, because 12417953153 - 228 = 12149517697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12417953153.

It is not a weakly prime, because it can be changed into another prime (12417953113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6208976576 + 6208976577.

It is an arithmetic number, because the mean of its divisors is an integer number (6208976577).

Almost surely, 212417953153 is an apocalyptic number.

It is an amenable number.

12417953153 is a deficient number, since it is larger than the sum of its proper divisors (1).

12417953153 is an equidigital number, since it uses as much as digits as its factorization.

12417953153 is an evil number, because the sum of its binary digits is even.

The product of its digits is 113400, while the sum is 41.

The spelling of 12417953153 in words is "twelve billion, four hundred seventeen million, nine hundred fifty-three thousand, one hundred fifty-three".