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12286184704 = 28618872
BaseRepresentation
bin10110111000101000…
…00100110100000000
31011201020121211221221
423130110010310000
5200130230402304
65351051324424
7613314563323
oct133424046400
934636554857
1012286184704
11523525a462
12246a750714
13120a5362a1
14847a367ba
154bd951054
hex2dc504d00

12286184704 has 54 divisors (see below), whose sum is σ = 24954549074. Its totient is φ = 6035573760.

The previous prime is 12286184683. The next prime is 12286184711. The reversal of 12286184704 is 40748168221.

It can be written as a sum of positive squares in only one way, i.e., 7250863104 + 5035321600 = 85152^2 + 70960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13850949 + ... + 13851835.

Almost surely, 212286184704 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 12286184704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477274537).

12286184704 is an abundant number, since it is smaller than the sum of its proper divisors (12668364370).

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

12286184704 is an frugal number, since it uses more digits than its factorization.

12286184704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 12286184704 in words is "twelve billion, two hundred eighty-six million, one hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 887 976 1774 1952 3548 3904 7096 7808 14192 15616 28384 54107 56768 108214 113536 216428 227072 432856 786769 865712 1573538 1731424 3147076 3462848 6294152 6925696 12588304 13851392 25176608 47992909 50353216 95985818 100706432 191971636 201412864 383943272 767886544 1535773088 3071546176 6143092352 12286184704