Search a number
-
+
524054001013 = 1923739234409
BaseRepresentation
bin1111010000001000000…
…11010111010101110101
31212002200020001120101221
413220010003113111311
532041230311013023
61040425211550341
752601355340234
oct7500403272565
91762606046357
10524054001013
11192282904484
128569475b3b1
133a5586a367a
141b515ab8b1b
15d97273e85d
hex7a040d7575

524054001013 has 12 divisors (see below), whose sum is σ = 568035787980. Its totient is φ = 483054031296.

The previous prime is 524054001001. The next prime is 524054001019. The reversal of 524054001013 is 310100450425.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 360548608849 + 163505392164 = 600457^2 + 404358^2 .

It is not a de Polignac number, because 524054001013 - 29 = 524054000501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524054001019) 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 11 ways as a sum of consecutive naturals, for example, 19603848 + ... + 19630561.

It is an arithmetic number, because the mean of its divisors is an integer number (47336315665).

Almost surely, 2524054001013 is an apocalyptic number.

It is an amenable number.

524054001013 is a deficient number, since it is larger than the sum of its proper divisors (43981786967).

524054001013 is a wasteful number, since it uses less digits than its factorization.

524054001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39234484 (or 39234465 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 524054001013 its reverse (310100450425), we get a palindrome (834154451438).

The spelling of 524054001013 in words is "five hundred twenty-four billion, fifty-four million, one thousand, thirteen".

Divisors: 1 19 37 361 703 13357 39234409 745453771 1451673133 14163621649 27581789527 524054001013