Search a number
-
+
12734012600 = 2352312053873
BaseRepresentation
bin10111101110000000…
…11001110010111000
31012212110021212100022
423313000121302320
5202034401400400
65503330030012
7630363215111
oct136700316270
935773255308
1012734012600
115445022161
122574718308
13127c2523ca
1488b2cb208
154e7e10b85
hex2f7019cb8

12734012600 has 48 divisors (see below), whose sum is σ = 30561645120. Its totient is φ = 4929292800.

The previous prime is 12734012597. The next prime is 12734012609. The reversal of 12734012600 is 621043721.

12734012600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12734012600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12734012609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1020737 + ... + 1033136.

It is an arithmetic number, because the mean of its divisors is an integer number (636700940).

Almost surely, 212734012600 is an apocalyptic number.

12734012600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12734012600 is an abundant number, since it is smaller than the sum of its proper divisors (17827632520).

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

12734012600 is a wasteful number, since it uses less digits than its factorization.

12734012600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053920 (or 2053911 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 12734012600 in words is "twelve billion, seven hundred thirty-four million, twelve thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 2053873 4107746 8215492 10269365 16430984 20538730 41077460 51346825 63670063 82154920 102693650 127340126 205387300 254680252 318350315 410774600 509360504 636700630 1273401260 1591751575 2546802520 3183503150 6367006300 12734012600