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10666515150 = 23252149257619
BaseRepresentation
bin10011110111100011…
…00001101011001110
31000112100221010000200
421323301201223032
5133321111441100
64522232234330
7525216611544
oct117361415316
930470833020
1010666515150
114583a73785
12209823b9a6
13100cb04635
147328a1d94
15426668e00
hex27bc61ace

10666515150 has 144 divisors (see below), whose sum is σ = 29008746000. Its totient is φ = 2809774080.

The previous prime is 10666515149. The next prime is 10666515151. The reversal of 10666515150 is 5151566601.

It is an interprime number because it is at equal distance from previous prime (10666515149) and next prime (10666515151).

It is a super-2 number, since 2×106665151502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666515151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17231541 + ... + 17232159.

It is an arithmetic number, because the mean of its divisors is an integer number (201449625).

Almost surely, 210666515150 is an apocalyptic number.

10666515150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666515150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504373000).

10666515150 is an abundant number, since it is smaller than the sum of its proper divisors (18342230850).

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

10666515150 is a wasteful number, since it uses less digits than its factorization.

10666515150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10666515150 in words is "ten billion, six hundred sixty-six million, five hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 149 150 225 257 298 447 450 514 619 745 771 894 1238 1285 1341 1490 1542 1857 2235 2313 2570 2682 3095 3714 3725 3855 4470 4626 5571 6190 6425 6705 7450 7710 9285 11142 11175 11565 12850 13410 15475 18570 19275 22350 23130 27855 30950 33525 38293 38550 46425 55710 57825 67050 76586 92231 92850 114879 115650 139275 159083 184462 191465 229758 276693 278550 318166 344637 382930 461155 477249 553386 574395 689274 795415 830079 922310 954498 957325 1148790 1383465 1431747 1590830 1660158 1723185 1914650 2305775 2386245 2766930 2863494 2871975 3446370 3977075 4150395 4611550 4772490 5743950 6917325 7158735 7954150 8300790 8615925 11931225 13834650 14317470 17231850 20751975 23703367 23862450 35793675 41503950 47406734 71110101 71587350 118516835 142220202 213330303 237033670 355550505 426660606 592584175 711101010 1066651515 1185168350 1777752525 2133303030 3555505050 5333257575 10666515150