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506540633129 = 3899312990553
BaseRepresentation
bin1110101111100000010…
…11001010110000101001
31210102110200120022010222
413113300023022300221
531244343400230004
61024411311415425
751411356224526
oct7276013126051
91712420508128
10506540633129
11185905a88a23
1282207524575
13389c72276ab
141a733b6414d
15d299e5d7be
hex75f02cac29

506540633129 has 4 divisors (see below), whose sum is σ = 506553662676. Its totient is φ = 506527603584.

The previous prime is 506540633117. The next prime is 506540633141. The reversal of 506540633129 is 921336045605.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 921336045605 = 5184267209121.

It is an interprime number because it is at equal distance from previous prime (506540633117) and next prime (506540633141).

It can be written as a sum of positive squares in 2 ways, for example, as 141692016400 + 364848616729 = 376420^2 + 604027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506540633129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 506540633129.

It is not an unprimeable number, because it can be changed into a prime (506540633029) 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 in 3 ways as a sum of consecutive naturals, for example, 6456284 + ... + 6534269.

It is an arithmetic number, because the mean of its divisors is an integer number (126638415669).

Almost surely, 2506540633129 is an apocalyptic number.

It is an amenable number.

506540633129 is a deficient number, since it is larger than the sum of its proper divisors (13029547).

506540633129 is a wasteful number, since it uses less digits than its factorization.

506540633129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029546.

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 506540633129 in words is "five hundred six billion, five hundred forty million, six hundred thirty-three thousand, one hundred twenty-nine".

Divisors: 1 38993 12990553 506540633129