Search a number
-
+
12364999746 = 2311537149787
BaseRepresentation
bin10111000010000001…
…01110110001000010
31011220201221001212120
423201000232301002
5200310414442441
65402544505110
7615262522641
oct134100566102
934821831776
1012364999746
1152757a1360
12249101b196
1312209701c8
148542b1358
154c581d966
hex2e102ec42

12364999746 has 64 divisors (see below), whose sum is σ = 27874907136. Its totient is φ = 3624420800.

The previous prime is 12364999739. The next prime is 12364999789. The reversal of 12364999746 is 64799946321.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12364999746.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223465 + ... + 273251.

It is an arithmetic number, because the mean of its divisors is an integer number (435545424).

Almost surely, 212364999746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12364999746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937453568).

12364999746 is an abundant number, since it is smaller than the sum of its proper divisors (15509907390).

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

12364999746 is a wasteful number, since it uses less digits than its factorization.

12364999746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49927.

The product of its digits is 17635968, while the sum is 60.

The spelling of 12364999746 in words is "twelve billion, three hundred sixty-four million, nine hundred ninety-nine thousand, seven hundred forty-six".

Divisors: 1 2 3 6 11 22 33 53 66 71 106 142 159 213 318 426 583 781 1166 1562 1749 2343 3498 3763 4686 7526 11289 22578 41393 49787 82786 99574 124179 149361 248358 298722 547657 1095314 1642971 2638711 3285942 3534877 5277422 7069754 7916133 10604631 15832266 21209262 29025821 38883647 58051642 77767294 87077463 116650941 174154926 187348481 233301882 374696962 562045443 1124090886 2060833291 4121666582 6182499873 12364999746