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5135252544 = 263211817549
BaseRepresentation
bin1001100100001010…
…11011110001000000
3111020212212212011200
410302011123301000
541004111040134
62205322141200
7241153632522
oct46205336100
914225785150
105135252544
1121a5797274
12bb3951800
1363ab96096
1436a02ba12
15200c71499
hex13215bc40

5135252544 has 84 divisors (see below), whose sum is σ = 14733689100. Its totient is φ = 1710074880.

The previous prime is 5135252537. The next prime is 5135252567. The reversal of 5135252544 is 4452525315.

5135252544 is a `hidden beast` number, since 5 + 13 + 52 + 52 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4515840000 + 619412544 = 67200^2 + 24888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5135252499 and 5135252508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676482 + ... + 684030.

Almost surely, 25135252544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366844550).

5135252544 is an abundant number, since it is smaller than the sum of its proper divisors (9598436556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5135252544 is a wasteful number, since it uses less digits than its factorization.

5135252544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8735 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 5135252544 is about 71660.6764132184. The cubic root of 5135252544 is about 1725.2575454151.

Adding to 5135252544 its reverse (4452525315), we get a palindrome (9587777859).

The spelling of 5135252544 in words is "five billion, one hundred thirty-five million, two hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1181 2362 3543 4724 7086 7549 9448 10629 14172 15098 18896 21258 22647 28344 30196 37792 42516 45294 56688 60392 67941 75584 85032 90588 113376 120784 135882 170064 181176 226752 241568 271764 340128 362352 483136 543528 680256 724704 1087056 1449408 2174112 4348224 8915369 17830738 26746107 35661476 53492214 71322952 80238321 106984428 142645904 160476642 213968856 285291808 320953284 427937712 570583616 641906568 855875424 1283813136 1711750848 2567626272 5135252544