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5135252436 = 2232192395141
BaseRepresentation
bin1001100100001010…
…11011101111010100
3111020212212212000200
410302011123233110
541004111034221
62205322140500
7241153632306
oct46205335724
914225785020
105135252436
1121a5797186
12bb3951730
1363ab96012
1436a02b976
15200c71426
hex13215bbd4

5135252436 has 54 divisors (see below), whose sum is σ = 13699968282. Its totient is φ = 1621654560.

The previous prime is 5135252431. The next prime is 5135252449. The reversal of 5135252436 is 6342525315.

5135252436 is a `hidden beast` number, since 51 + 3 + 52 + 524 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4296802500 + 838449936 = 65550^2 + 28956^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5135252436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135252431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 184575 + ... + 210566.

Almost surely, 25135252436 is an apocalyptic number.

It is an amenable number.

5135252436 is an abundant number, since it is smaller than the sum of its proper divisors (8564715846).

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

5135252436 is a wasteful number, since it uses less digits than its factorization.

5135252436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395189 (or 395165 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 5135252436 is about 71660.6756596671. The cubic root of 5135252436 is about 1725.2575333204.

The spelling of 5135252436 in words is "five billion, one hundred thirty-five million, two hundred fifty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 395141 790282 1185423 1580564 2370846 3556269 4741692 7112538 7507679 14225076 15015358 22523037 30030716 45046074 67569111 90092148 135138222 142645901 270276444 285291802 427937703 570583604 855875406 1283813109 1711750812 2567626218 5135252436