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12286505776 = 243197263971
BaseRepresentation
bin10110111000101010…
…10011001100110000
31011201021020011101111
423130111103030300
5200130321141101
65351102243104
7613320401356
oct133425231460
934637204344
1012286505776
115235459706
12246a886494
13120a61947c
14847abb7d6
154bd9b6251
hex2dc553330

12286505776 has 80 divisors (see below), whose sum is σ = 24946403328. Its totient is φ = 5855385600.

The previous prime is 12286505771. The next prime is 12286505837. The reversal of 12286505776 is 67750568221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12286505771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12652971 + ... + 12653941.

Almost surely, 212286505776 is an apocalyptic number.

12286505776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12286505776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473201664).

12286505776 is an abundant number, since it is smaller than the sum of its proper divisors (12659897552).

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

12286505776 is a wasteful number, since it uses less digits than its factorization.

12286505776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 12286505776 in words is "twelve billion, two hundred eighty-six million, five hundred five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 31 62 97 124 194 248 263 388 496 526 776 971 1052 1552 1942 2104 3007 3884 4208 6014 7768 8153 12028 15536 16306 24056 25511 30101 32612 48112 51022 60202 65224 94187 102044 120404 130448 188374 204088 240808 255373 376748 408176 481616 510746 753496 790841 1021492 1506992 1581682 2042984 2919797 3163364 4085968 5839594 6326728 7916563 11679188 12653456 15833126 23358376 24771181 31666252 46716752 49542362 63332504 99084724 126665008 198169448 396338896 767906611 1535813222 3071626444 6143252888 12286505776