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12318362078401 = 43596182996017
BaseRepresentation
bin1011001101000001011110…
…0110001000110011000001
31121121121211211111100202101
42303100113212020303001
53103311001143002101
642110551042150401
72410654332021211
oct263202746106301
947547754440671
1012318362078401
113a1a208288405
12146b46a652401
136b4802773832
143082d7680241
1516566765a401
hexb3417988cc1

12318362078401 has 32 divisors (see below), whose sum is σ = 13044467779200. Its totient is φ = 11619902407680.

The previous prime is 12318362078353. The next prime is 12318362078489. The reversal of 12318362078401 is 10487026381321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12318362078401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12318362018401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128245545 + ... + 128341561.

It is an arithmetic number, because the mean of its divisors is an integer number (407639618100).

Almost surely, 212318362078401 is an apocalyptic number.

It is an amenable number.

12318362078401 is a deficient number, since it is larger than the sum of its proper divisors (726105700799).

12318362078401 is an equidigital number, since it uses as much as digits as its factorization.

12318362078401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97009.

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 12318362078401 in words is "twelve trillion, three hundred eighteen billion, three hundred sixty-two million, seventy-eight thousand, four hundred one".

Divisors: 1 43 59 61 829 2537 2623 3599 35647 48911 50569 96017 154757 2103173 2174467 2983571 4128731 5665003 5857037 79598093 128293553 243595129 251852591 345565183 3422717999 4696287487 4855483673 14859302869 201940361941 208785797939 286473536707 12318362078401