Search a number
-
+
12671233784 = 23112329613539
BaseRepresentation
bin10111100110100001…
…11010111011111000
31012201002011100222222
423303100322323320
5201422313440114
65453204303212
7626001465356
oct136320727370
935632140888
1012671233784
115412643540
1225576a1b08
13126c241691
14882c287d6
154e265e98e
hex2f343aef8

12671233784 has 128 divisors (see below), whose sum is σ = 28444608000. Its totient is φ = 5230579200.

The previous prime is 12671233769. The next prime is 12671233789. The reversal of 12671233784 is 48733217621.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671233789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3578687 + ... + 3582225.

It is an arithmetic number, because the mean of its divisors is an integer number (222223500).

Almost surely, 212671233784 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 12671233784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14222304000).

12671233784 is an abundant number, since it is smaller than the sum of its proper divisors (15773374216).

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

12671233784 is a wasteful number, since it uses less digits than its factorization.

12671233784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3665 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The spelling of 12671233784 in words is "twelve billion, six hundred seventy-one million, two hundred thirty-three thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 61 88 92 116 122 184 232 244 253 319 488 506 638 667 671 1012 1276 1334 1342 1403 1769 2024 2552 2668 2684 2806 3538 3539 5336 5368 5612 7076 7078 7337 11224 14152 14156 14674 15433 19459 28312 29348 30866 38918 38929 40687 58696 61732 77836 77858 81374 81397 102631 123464 155672 155716 162748 162794 205262 215879 311432 325496 325588 410524 431758 447557 651176 821048 863516 895114 895367 1128941 1727032 1790228 1790734 2257882 2360513 2374669 3580456 3581468 4515764 4721026 4749338 4965217 6260491 7162936 9031528 9442052 9498676 9930434 12520982 18884104 18997352 19860868 25041964 25965643 39721736 50083928 51931286 54617387 68865401 103862572 109234774 137730802 143991293 207725144 218469548 275461604 287982586 436939096 550923208 575965172 1151930344 1583904223 3167808446 6335616892 12671233784