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460838131217 is a prime number
BaseRepresentation
bin1101011010011000001…
…01111101011000010001
31122001111121020122121222
412231030011331120101
530022244030144332
6551412304254425
745202666324652
oct6551405753021
91561447218558
10460838131217
11168493124892
1275391911415
13345c290c459
141843a0a9529
15bec2a06712
hex6b4c17d611

460838131217 has 2 divisors, whose sum is σ = 460838131218. Its totient is φ = 460838131216.

The previous prime is 460838131207. The next prime is 460838131223. The reversal of 460838131217 is 712131838064.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 458621510656 + 2216620561 = 677216^2 + 47081^2 .

It is a cyclic number.

It is not a de Polignac number, because 460838131217 - 218 = 460837869073 is a prime.

It is not a weakly prime, because it can be changed into another prime (460838131207) 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 as a sum of consecutive naturals, namely, 230419065608 + 230419065609.

It is an arithmetic number, because the mean of its divisors is an integer number (230419065609).

Almost surely, 2460838131217 is an apocalyptic number.

It is an amenable number.

460838131217 is a deficient number, since it is larger than the sum of its proper divisors (1).

460838131217 is an equidigital number, since it uses as much as digits as its factorization.

460838131217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 460838131217 in words is "four hundred sixty billion, eight hundred thirty-eight million, one hundred thirty-one thousand, two hundred seventeen".