Search a number
-
+
12396264976872 = 2332723599787411
BaseRepresentation
bin1011010001100011101011…
…1110000111000111101000
31121220001221000112122021100
42310120322332013013220
53111100022313224442
642210433203441400
72416413000520200
oct264307276070750
947801830478240
1012396264976872
113a4a254456027
121482590086260
136bbc69293b6a
1430bda7ac5400
151676c698584c
hexb463af871e8

12396264976872 has 144 divisors (see below), whose sum is σ = 39163350376800. Its totient is φ = 3531923922240.

The previous prime is 12396264976721. The next prime is 12396264976981. The reversal of 12396264976872 is 27867946269321.

12396264976872 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 6 + 2 + 6 + 497 + 68 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12396264976872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3627154 + ... + 6160257.

It is an arithmetic number, because the mean of its divisors is an integer number (271967710950).

Almost surely, 212396264976872 is an apocalyptic number.

12396264976872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12396264976872 is an abundant number, since it is smaller than the sum of its proper divisors (26767085399928).

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

12396264976872 is a wasteful number, since it uses less digits than its factorization.

12396264976872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787796 (or 9787782 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 12396264976872 in words is "twelve trillion, three hundred ninety-six billion, two hundred sixty-four million, nine hundred seventy-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 359 392 441 504 588 718 882 1077 1176 1436 1764 2154 2513 2872 3231 3528 4308 5026 6462 7539 8616 10052 12924 15078 17591 20104 22617 25848 30156 35182 45234 52773 60312 70364 90468 105546 140728 158319 180936 211092 316638 422184 633276 1266552 9787411 19574822 29362233 39149644 58724466 68511877 78299288 88086699 117448932 137023754 176173398 205535631 234897864 274047508 352346796 411071262 479583139 548095016 616606893 704693592 822142524 959166278 1233213786 1438749417 1644285048 1918332556 2466427572 2877498834 3513680549 3836665112 4316248251 4932855144 5754997668 7027361098 8632496502 10541041647 11509995336 14054722196 17264993004 21082083294 24595763843 28109444392 31623124941 34529986008 42164166588 49191527686 63246249882 73787291529 84328333176 98383055372 126492499764 147574583058 172170346901 196766110744 221361874587 252984999528 295149166116 344340693802 442723749174 516511040703 590298332232 688681387604 885447498348 1033022081406 1377362775208 1549533122109 1770894996696 2066044162812 3099066244218 4132088325624 6198132488436 12396264976872