Search a number
-
+
136264339600 = 2452184572
BaseRepresentation
bin111111011100111111…
…1001101000010010000
3111000201111101200001121
41332321333031002100
54213032132331400
6142333213412024
712562520530054
oct1767177150220
9430644350047
10136264339600
11528757381a4
12224aa79a014
13cb07963b5c
146849447c64
153827cb421a
hex1fb9fcd090

136264339600 has 45 divisors (see below), whose sum is σ = 327392814027. Its totient is φ = 54502782720.

The previous prime is 136264339583. The next prime is 136264339649. The reversal of 136264339600 is 6933462631.

The square root of 136264339600 is 369140.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1557723024 + 134706616576 = 39468^2 + 367024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7373572 + ... + 7392028.

Almost surely, 2136264339600 is an apocalyptic number.

136264339600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136264339600 is the 369140-th square number.

It is an amenable number.

136264339600 is an abundant number, since it is smaller than the sum of its proper divisors (191128474427).

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

136264339600 is an frugal number, since it uses more digits than its factorization.

136264339600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36932 (or 18464 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 43.

The spelling of 136264339600 in words is "one hundred thirty-six billion, two hundred sixty-four million, three hundred thirty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 18457 36914 73828 92285 147656 184570 295312 369140 461425 738280 922850 1476560 1845700 3691400 7382800 340660849 681321698 1362643396 1703304245 2725286792 3406608490 5450573584 6813216980 8516521225 13626433960 17033042450 27252867920 34066084900 68132169800 136264339600