Search a number
-
+
5017538357105 = 567711091336597
BaseRepresentation
bin100100100000011110010…
…0101110110011101110001
3122202200010212121222102212
41021000330211312131301
51124201404304411410
614401005244221505
71025335164223451
oct111007445663561
918680125558385
105017538357105
111664a2066086a
1269052353a895
132a51c877c571
14134bc8b63d61
158a7b72dbb05
hex4903c976771

5017538357105 has 16 divisors (see below), whose sum is σ = 6035381537040. Its totient is φ = 4004484387072.

The previous prime is 5017538357087. The next prime is 5017538357137.

5017538357105 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 37714028401 + 4979824328704 = 194201^2 + 2231552^2 .

It is a cyclic number.

It is not a de Polignac number, because 5017538357105 - 226 = 5017471248241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3085667 + ... + 4422263.

It is an arithmetic number, because the mean of its divisors is an integer number (377211346065).

Almost surely, 25017538357105 is an apocalyptic number.

It is an amenable number.

5017538357105 is a deficient number, since it is larger than the sum of its proper divisors (1017843179935).

5017538357105 is a wasteful number, since it uses less digits than its factorization.

5017538357105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338388.

The product of its (nonzero) digits is 2205000, while the sum is 50.

The spelling of 5017538357105 in words is "five trillion, seventeen billion, five hundred thirty-eight million, three hundred fifty-seven thousand, one hundred five".

Divisors: 1 5 677 1109 3385 5545 750793 1336597 3753965 6682985 904876169 1482286073 4524380845 7411430365 1003507671421 5017538357105