Search a number
-
+
12726914130 = 233576733817
BaseRepresentation
bin10111101101001010…
…10100110001010010
31012211221221020002000
423312211110301102
5202031042223010
65502513534430
7630245661630
oct136645246122
935757836060
1012726914130
115441013a57
122572274416
13127a938428
1488a3a0350
154e74ac7c0
hex2f6954c52

12726914130 has 64 divisors (see below), whose sum is σ = 38786791680. Its totient is φ = 2909008512.

The previous prime is 12726914113. The next prime is 12726914147. The reversal of 12726914130 is 3141962721.

12726914130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12726914113) and next prime (12726914147).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3365019 + ... + 3368798.

It is an arithmetic number, because the mean of its divisors is an integer number (606043620).

Almost surely, 212726914130 is an apocalyptic number.

12726914130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12726914130 is an abundant number, since it is smaller than the sum of its proper divisors (26059877550).

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

12726914130 is a wasteful number, since it uses less digits than its factorization.

12726914130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733840 (or 6733834 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12726914130 in words is "twelve billion, seven hundred twenty-six million, nine hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 6733817 13467634 20201451 33669085 40402902 47136719 60604353 67338170 94273438 101007255 121208706 141410157 181813059 202014510 235683595 282820314 303021765 363626118 424230471 471367190 606043530 707050785 848460942 909065295 1272691413 1414101570 1818130590 2121152355 2545382826 4242304710 6363457065 12726914130