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12284069382 = 23213531317561
BaseRepresentation
bin10110111000011000…
…00000011000000110
31011201002122101021200
423130030000120012
5200124210210012
65350534123330
7613260603234
oct133414003006
934632571250
1012284069382
115234045162
122469ab0546
131209c75510
14847645954
154bd6843dc
hex2dc300606

12284069382 has 96 divisors (see below), whose sum is σ = 29430457056. Its totient is φ = 3679603200.

The previous prime is 12284069381. The next prime is 12284069383. The reversal of 12284069382 is 28396048221.

12284069382 is a `hidden beast` number, since 1 + 228 + 40 + 6 + 9 + 382 = 666.

It is an interprime number because it is at equal distance from previous prime (12284069381) and next prime (12284069383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12284069381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1620882 + ... + 1628442.

It is an arithmetic number, because the mean of its divisors is an integer number (306567261).

Almost surely, 212284069382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12284069382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14715228528).

12284069382 is an abundant number, since it is smaller than the sum of its proper divisors (17146387674).

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

12284069382 is a wasteful number, since it uses less digits than its factorization.

12284069382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12284069382 in words is "twelve billion, two hundred eighty-four million, sixty-nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 131 159 234 262 318 393 477 689 786 954 1179 1378 1703 2067 2358 3406 4134 5109 6201 6943 7561 10218 12402 13886 15122 15327 20829 22683 30654 41658 45366 62487 68049 90259 98293 124974 136098 180518 196586 270777 294879 400733 541554 589758 801466 812331 884637 990491 1202199 1624662 1769274 1980982 2404398 2971473 3606597 5209529 5942946 7213194 8914419 10419058 12876383 15628587 17828838 25752766 31257174 38629149 46885761 52496023 77258298 93771522 104992046 115887447 157488069 231774894 314976138 472464207 682448299 944928414 1364896598 2047344897 4094689794 6142034691 12284069382