Search a number
-
+
5158338705 = 3251385710289
BaseRepresentation
bin1001100110111011…
…00000000010010001
3111022111022202102200
410303131200002101
541031013314310
62211505033413
7241554104232
oct46335400221
914274282380
105158338705
112207825243
12bbb625869
136428ba130
1436d11b089
15202cd19c0
hex133760091

5158338705 has 48 divisors (see below), whose sum is σ = 9641071440. Its totient is φ = 2536280064.

The previous prime is 5158338677. The next prime is 5158338739. The reversal of 5158338705 is 5078338515.

It can be written as a sum of positive squares in 8 ways, for example, as 231983361 + 4926355344 = 15231^2 + 70188^2 .

It is not a de Polignac number, because 5158338705 - 26 = 5158338641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 496201 + ... + 506489.

It is an arithmetic number, because the mean of its divisors is an integer number (200855655).

Almost surely, 25158338705 is an apocalyptic number.

It is an amenable number.

5158338705 is a deficient number, since it is larger than the sum of its proper divisors (4482732735).

5158338705 is a wasteful number, since it uses less digits than its factorization.

5158338705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11170 (or 11167 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5158338705 is about 71821.5754839728. The cubic root of 5158338705 is about 1727.8390501214.

The spelling of 5158338705 in words is "five billion, one hundred fifty-eight million, three hundred thirty-eight thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 857 2571 4285 7713 10289 11141 12855 30867 33423 38565 51445 55705 92601 100269 133757 154335 167115 401271 463005 501345 668785 1203813 2006355 6019065 8817673 26453019 44088365 79359057 114629749 132265095 343889247 396795285 573148745 1031667741 1719446235 5158338705