Search a number
-
+
1672115071217 is a prime number
BaseRepresentation
bin11000010101010001110…
…100110010100011110001
312220212000120111200002212
4120111101310302203301
5204343442424234332
63320054205021505
7231543366411053
oct30252164624361
95825016450085
101672115071217
1159515a4028a8
12230097b54895
13c18ab607406
145ad061938d3
152d7677378b2
hex18551d328f1

1672115071217 has 2 divisors, whose sum is σ = 1672115071218. Its totient is φ = 1672115071216.

The previous prime is 1672115071183. The next prime is 1672115071229. The reversal of 1672115071217 is 7121705112761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1634508553441 + 37606517776 = 1278479^2 + 193924^2 .

It is a cyclic number.

It is not a de Polignac number, because 1672115071217 - 28 = 1672115070961 is a prime.

It is a super-2 number, since 2×16721150712172 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1672115071247) 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, 836057535608 + 836057535609.

It is an arithmetic number, because the mean of its divisors is an integer number (836057535609).

Almost surely, 21672115071217 is an apocalyptic number.

It is an amenable number.

1672115071217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1672115071217 is an equidigital number, since it uses as much as digits as its factorization.

1672115071217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41160, while the sum is 41.

The spelling of 1672115071217 in words is "one trillion, six hundred seventy-two billion, one hundred fifteen million, seventy-one thousand, two hundred seventeen".