Search a number
-
+
33507407429 is a prime number
BaseRepresentation
bin11111001101001100…
…100111011001000101
310012111012002122211222
4133031030213121011
51022110344014204
623220524010125
72264226156326
oct371514473105
9105435078758
1033507407429
1113235070161
1265b1690945
13320cc26202
14189c1b444d
15d119eaabe
hex7cd327645

33507407429 has 2 divisors, whose sum is σ = 33507407430. Its totient is φ = 33507407428.

The previous prime is 33507407407. The next prime is 33507407431. The reversal of 33507407429 is 92470470533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19888050625 + 13619356804 = 141025^2 + 116702^2 .

It is a cyclic number.

It is not a de Polignac number, because 33507407429 - 28 = 33507407173 is a prime.

It is a super-2 number, since 2×335074074292 (a number of 22 digits) contains 22 as substring.

Together with 33507407431, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33507407429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33507407029) 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, 16753703714 + 16753703715.

It is an arithmetic number, because the mean of its divisors is an integer number (16753703715).

Almost surely, 233507407429 is an apocalyptic number.

It is an amenable number.

33507407429 is a deficient number, since it is larger than the sum of its proper divisors (1).

33507407429 is an equidigital number, since it uses as much as digits as its factorization.

33507407429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 33507407429 in words is "thirty-three billion, five hundred seven million, four hundred seven thousand, four hundred twenty-nine".