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12266666760 = 23351943125119
BaseRepresentation
bin10110110110010011…
…00111101100001000
31011122212220020101010
423123021213230020
5200110231314020
65345113123520
7612656642565
oct133311475410
934585806333
1012266666760
115225239327
1224640b95a0
1312064913ca
148451d586c
154bbd97de0
hex2db267b08

12266666760 has 128 divisors (see below), whose sum is σ = 39638016000. Its totient is φ = 3026854656.

The previous prime is 12266666759. The next prime is 12266666767. The reversal of 12266666760 is 6766666221.

12266666760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122666667602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12266666767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35481 + ... + 160599.

It is an arithmetic number, because the mean of its divisors is an integer number (309672000).

Almost surely, 212266666760 is an apocalyptic number.

12266666760 is a gapful number since it is divisible by the number (10) 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 12266666760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819008000).

12266666760 is an abundant number, since it is smaller than the sum of its proper divisors (27371349240).

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

12266666760 is a wasteful number, since it uses less digits than its factorization.

12266666760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125195 (or 125191 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 12266666760 in words is "twelve billion, two hundred sixty-six million, six hundred sixty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 43 57 60 76 86 95 114 120 129 152 172 190 215 228 258 285 344 380 430 456 516 570 645 760 817 860 1032 1140 1290 1634 1720 2280 2451 2580 3268 4085 4902 5160 6536 8170 9804 12255 16340 19608 24510 32680 49020 98040 125119 250238 375357 500476 625595 750714 1000952 1251190 1501428 1876785 2377261 2502380 3002856 3753570 4754522 5004760 5380117 7131783 7507140 9509044 10760234 11886305 14263566 15014280 16140351 19018088 21520468 23772610 26900585 28527132 32280702 35658915 43040936 47545220 53801170 57054264 64561404 71317830 80701755 95090440 102222223 107602340 129122808 142635660 161403510 204444446 215204680 285271320 306666669 322807020 408888892 511111115 613333338 645614040 817777784 1022222230 1226666676 1533333345 2044444460 2453333352 3066666690 4088888920 6133333380 12266666760