Search a number
-
+
33285185017613 is a prime number
BaseRepresentation
bin1111001000101110011111…
…01000010001011100001101
311100212000212202212222102222
413210113033220101130031
513330321024331030423
6154443000343225125
710003526625323324
oct744271750213415
9140760782788388
1033285185017613
11a673193221531
123896a851481a5
131575a19691689
148310239a30bb
153cac562623c8
hex1e45cfa1170d

33285185017613 has 2 divisors, whose sum is σ = 33285185017614. Its totient is φ = 33285185017612.

The previous prime is 33285185017607. The next prime is 33285185017657. The reversal of 33285185017613 is 31671058158233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20020416438724 + 13264768578889 = 4474418^2 + 3642083^2 .

It is a cyclic number.

It is not a de Polignac number, because 33285185017613 - 236 = 33216465540877 is a prime.

It is a super-2 number, since 2×332851850176132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33285185017673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16642592508806 + 16642592508807.

It is an arithmetic number, because the mean of its divisors is an integer number (16642592508807).

Almost surely, 233285185017613 is an apocalyptic number.

It is an amenable number.

33285185017613 is a deficient number, since it is larger than the sum of its proper divisors (1).

33285185017613 is an equidigital number, since it uses as much as digits as its factorization.

33285185017613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 33285185017613 in words is "thirty-three trillion, two hundred eighty-five billion, one hundred eighty-five million, seventeen thousand, six hundred thirteen".