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12285789066 = 2322323493697
BaseRepresentation
bin10110111000100101…
…00100001110001010
31011201012212202020200
423130102210032022
5200130130222231
65351035033030
7613311325005
oct133422441612
934635782220
1012285789066
11523500a191
12246a59b776
13120a428195
1484797253c
154bd8c3be6
hex2dc4a438a

12285789066 has 72 divisors (see below), whose sum is σ = 27914168100. Its totient is φ = 3904927488.

The previous prime is 12285789059. The next prime is 12285789079. The reversal of 12285789066 is 66098758221.

12285789066 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 578 + 9 + 0 + 66 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12112103025 + 173686041 = 110055^2 + 13179^2 .

It is a super-2 number, since 2×122857890662 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3321330 + ... + 3325026.

Almost surely, 212285789066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12285789066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13957084050).

12285789066 is an abundant number, since it is smaller than the sum of its proper divisors (15628379034).

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

12285789066 is a wasteful number, since it uses less digits than its factorization.

12285789066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12285789066 in words is "twelve billion, two hundred eighty-five million, seven hundred eighty-nine thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 349 414 529 698 1047 1058 1587 2094 3141 3174 3697 4761 6282 7394 8027 9522 11091 16054 22182 24081 33273 48162 66546 72243 85031 144486 170062 184621 255093 369242 510186 553863 765279 1107726 1290253 1530558 1661589 1955713 2580506 3323178 3870759 3911426 5867139 7741518 11612277 11734278 17601417 23224554 29675819 35202834 59351638 89027457 178054914 267082371 534164742 682543837 1365087674 2047631511 4095263022 6142894533 12285789066