Search a number
-
+
12811419888 = 2432379146893
BaseRepresentation
bin10111110111001111…
…01100000011110000
31020001211221120011220
423323213230003300
5202214210414023
65515133105040
7632323162251
oct137347540360
936054846156
1012811419888
115484792423
122596628180
1312922b5637
148976bab28
154eeb013e3
hex2fb9ec0f0

12811419888 has 80 divisors (see below), whose sum is σ = 34972523520. Its totient is φ = 4033066752.

The previous prime is 12811419833. The next prime is 12811419889. The reversal of 12811419888 is 88891411821.

It is a self number, because there is not a number n which added to its sum of digits gives 12811419888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12811419889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13770 + ... + 160662.

It is an arithmetic number, because the mean of its divisors is an integer number (437156544).

Almost surely, 212811419888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12811419888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486261760).

12811419888 is an abundant number, since it is smaller than the sum of its proper divisors (22161103632).

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

12811419888 is a wasteful number, since it uses less digits than its factorization.

12811419888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147006 (or 147000 counting only the distinct ones).

The product of its digits is 294912, while the sum is 51.

The spelling of 12811419888 in words is "twelve billion, eight hundred eleven million, four hundred nineteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 79 92 138 158 184 237 276 316 368 474 552 632 948 1104 1264 1817 1896 3634 3792 5451 7268 10902 14536 21804 29072 43608 87216 146893 293786 440679 587572 881358 1175144 1762716 2350288 3378539 3525432 6757078 7050864 10135617 11604547 13514156 20271234 23209094 27028312 34813641 40542468 46418188 54056624 69627282 81084936 92836376 139254564 162169872 185672752 266904581 278509128 533809162 557018256 800713743 1067618324 1601427486 2135236648 3202854972 4270473296 6405709944 12811419888