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12686022960 = 2435134066033
BaseRepresentation
bin10111101000010010…
…10101100100110000
31012202002222201221020
423310021111210300
5201440110213320
65454453255440
7626241262452
oct136411254460
935662881836
1012686022960
11541aa248a6
122560634580
13127231c080
14884b982d2
154e3ad1940
hex2f4255930

12686022960 has 80 divisors (see below), whose sum is σ = 42351810144. Its totient is φ = 3122712576.

The previous prime is 12686022959. The next prime is 12686022967. The reversal of 12686022960 is 6922068621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12686022967) 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, 2029897 + ... + 2036136.

Almost surely, 212686022960 is an apocalyptic number.

12686022960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12686022960 is an abundant number, since it is smaller than the sum of its proper divisors (29665787184).

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

12686022960 is a wasteful number, since it uses less digits than its factorization.

12686022960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066062 (or 4066056 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 12686022960 in words is "twelve billion, six hundred eighty-six million, twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4066033 8132066 12198099 16264132 20330165 24396198 32528264 40660330 48792396 52858429 60990495 65056528 81320660 97584792 105716858 121980990 158575287 162641320 195169584 211433716 243961980 264292145 317150574 325282640 422867432 487923960 528584290 634301148 792876435 845734864 975847920 1057168580 1268602296 1585752870 2114337160 2537204592 3171505740 4228674320 6343011480 12686022960