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172136446217 is a prime number
BaseRepresentation
bin1010000001010000100…
…0011011100100001001
3121110022111002111100222
42200110020123210021
510310013412234332
6211024533235425
715302462436221
oct2402410334411
9543274074328
10172136446217
11670035998aa
1229440192b75
1313303766048
14848d6cd081
1547271b1712
hex281421b909

172136446217 has 2 divisors, whose sum is σ = 172136446218. Its totient is φ = 172136446216.

The previous prime is 172136446211. The next prime is 172136446241. The reversal of 172136446217 is 712644631271.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96258785536 + 75877660681 = 310256^2 + 275459^2 .

It is a cyclic number.

It is not a de Polignac number, because 172136446217 - 24 = 172136446201 is a prime.

It is a super-2 number, since 2×1721364462172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (172136446211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86068223108 + 86068223109.

It is an arithmetic number, because the mean of its divisors is an integer number (86068223109).

Almost surely, 2172136446217 is an apocalyptic number.

It is an amenable number.

172136446217 is a deficient number, since it is larger than the sum of its proper divisors (1).

172136446217 is an equidigital number, since it uses as much as digits as its factorization.

172136446217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 338688, while the sum is 44.

The spelling of 172136446217 in words is "one hundred seventy-two billion, one hundred thirty-six million, four hundred forty-six thousand, two hundred seventeen".