Search a number
-
+
38331613710009 = 346879172
BaseRepresentation
bin10001011011100110001100…
…01110000000011010111001
312000201110121001210001110000
420231303012032000122321
520011011121102210014
6213305144503543213
711034240056420634
oct1055630616003271
9160643531701400
1038331613710009
11112393896aa854
124370b0ba5ab09
13185086a650299
1496738d638c1b
1546715ea33509
hex22dcc63806b9

38331613710009 has 15 divisors (see below), whose sum is σ = 57260888903647. Its totient is φ = 25554371992488.

The previous prime is 38331613709947. The next prime is 38331613710079. The reversal of 38331613710009 is 90001731613383.

The square root of 38331613710009 is 6191253.

It is a perfect power (a square), and thus also a powerful number.

38331613710009 is a `hidden beast` number, since 383 + 3 + 161 + 3 + 7 + 100 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38181091437225 + 150522272784 = 6179085^2 + 387972^2 .

It is not a de Polignac number, because 38331613710009 - 219 = 38331613185721 is a prime.

It is a super-2 number, since 2×383316137100092 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38331613710079) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 55377319 + ... + 56065235.

Almost surely, 238331613710009 is an apocalyptic number.

38331613710009 is the 6191253-rd square number.

38331613710009 is the 3095627-th centered octagonal number.

It is an amenable number.

38331613710009 is a deficient number, since it is larger than the sum of its proper divisors (18929275193638).

38331613710009 is an frugal number, since it uses more digits than its factorization.

38331613710009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375846 (or 687920 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 38331613710009 in words is "thirty-eight trillion, three hundred thirty-one billion, six hundred thirteen million, seven hundred ten thousand, nine".

Divisors: 1 3 9 27 81 687917 2063751 6191253 18573759 55721277 473229798889 1419689396667 4259068190001 12777204570003 38331613710009