Search a number
-
+
506055302233 = 13541632911369
BaseRepresentation
bin1110101110100110011…
…11110001110001011001
31210101012212022221022121
413113103033301301121
531242400124132413
61024251213221241
751363344044615
oct7272317616131
91711185287277
10506055302233
11185687030708
12820b0a91821
133894a80a450
141a6c950a345
15d26c541b8d
hex75d33f1c59

506055302233 has 16 divisors (see below), whose sum is σ = 546124294800. Its totient is φ = 466149841920.

The previous prime is 506055302131. The next prime is 506055302243. The reversal of 506055302233 is 332203550605.

It can be written as a sum of positive squares in 8 ways, for example, as 2484823104 + 503570479129 = 49848^2 + 709627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506055302233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506055302243) 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 in 15 ways as a sum of consecutive naturals, for example, 44506173 + ... + 44517541.

It is an arithmetic number, because the mean of its divisors is an integer number (34132768425).

Almost surely, 2506055302233 is an apocalyptic number.

It is an amenable number.

506055302233 is a deficient number, since it is larger than the sum of its proper divisors (40068992567).

506055302233 is a wasteful number, since it uses less digits than its factorization.

506055302233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18252.

The product of its (nonzero) digits is 81000, while the sum is 34.

Adding to 506055302233 its reverse (332203550605), we get a palindrome (838258852838).

The spelling of 506055302233 in words is "five hundred six billion, fifty-five million, three hundred two thousand, two hundred thirty-three".

Divisors: 1 13 541 6329 7033 11369 82277 147797 3423989 6150629 44511857 71954401 79958177 935407213 38927330941 506055302233