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214506792029 is a prime number
BaseRepresentation
bin1100011111000110011…
…0011110010001011101
3202111200100101002001002
43013301212132101131
512003302214321104
6242313145000045
721332451435215
oct3076146362135
9674610332032
10214506792029
1182a76545822
12356a5a83025
13172c692079a
14a54c9db245
1558a6d1301e
hex31f199e45d

214506792029 has 2 divisors, whose sum is σ = 214506792030. Its totient is φ = 214506792028.

The previous prime is 214506791977. The next prime is 214506792067. The reversal of 214506792029 is 920297605412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202923220900 + 11583571129 = 450470^2 + 107627^2 .

It is a cyclic number.

It is not a de Polignac number, because 214506792029 - 232 = 210211824733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214506782029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107253396014 + 107253396015.

It is an arithmetic number, because the mean of its divisors is an integer number (107253396015).

Almost surely, 2214506792029 is an apocalyptic number.

It is an amenable number.

214506792029 is a deficient number, since it is larger than the sum of its proper divisors (1).

214506792029 is an equidigital number, since it uses as much as digits as its factorization.

214506792029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 214506792029 in words is "two hundred fourteen billion, five hundred six million, seven hundred ninety-two thousand, twenty-nine".