Search a number
-
+
12783339765 = 325725797433
BaseRepresentation
bin10111110011111001…
…00100100011110101
31012222220002221111100
423321330210203311
5202140013333030
65512251200313
7631532411100
oct137174444365
935886087440
1012783339765
11546a953409
122589146099
131289533491
14893a8b737
154ec406360
hex2f9f248f5

12783339765 has 36 divisors (see below), whose sum is σ = 25775391564. Its totient is φ = 5843811456.

The previous prime is 12783339689. The next prime is 12783339773. The reversal of 12783339765 is 56793338721.

It can be written as a sum of positive squares in 2 ways, for example, as 1344395556 + 11438944209 = 36666^2 + 106953^2 .

It is not a de Polignac number, because 12783339765 - 27 = 12783339637 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2896512 + ... + 2900921.

It is an arithmetic number, because the mean of its divisors is an integer number (715983099).

Almost surely, 212783339765 is an apocalyptic number.

12783339765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12783339765 is an abundant number, since it is smaller than the sum of its proper divisors (12992051799).

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

12783339765 is a wasteful number, since it uses less digits than its factorization.

12783339765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5797458 (or 5797448 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 12783339765 in words is "twelve billion, seven hundred eighty-three million, three hundred thirty-nine thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 5797433 17392299 28987165 40582031 52176897 86961495 121746093 202910155 260884485 284074217 365238279 608730465 852222651 1420371085 1826191395 2556667953 4261113255 12783339765