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11666066610 = 23511411018537
BaseRepresentation
bin10101101110101101…
…00000110010110010
31010010000202120212010
422313112200302302
5142343003112420
65205340143350
7562044634002
oct126726406262
933100676763
1011666066610
114a47210570
122316b37b56
13113bc155c3
147c9534002
154842ac4e0
hex2b75a0cb2

11666066610 has 128 divisors (see below), whose sum is σ = 31602348288. Its totient is φ = 2731520000.

The previous prime is 11666066597. The next prime is 11666066617. The reversal of 11666066610 is 1666066611.

It is a happy number.

11666066610 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116660666102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11666066617) 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 63 ways as a sum of consecutive naturals, for example, 1362262 + ... + 1370798.

It is an arithmetic number, because the mean of its divisors is an integer number (246893346).

Almost surely, 211666066610 is an apocalyptic number.

11666066610 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 11666066610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801174144).

11666066610 is an abundant number, since it is smaller than the sum of its proper divisors (19936281678).

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

11666066610 is a wasteful number, since it uses less digits than its factorization.

11666066610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700.

The product of its (nonzero) digits is 46656, while the sum is 39.

Subtracting from 11666066610 its reverse (1666066611), we obtain a palindrome (9999999999).

The spelling of 11666066610 in words is "eleven billion, six hundred sixty-six million, sixty-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 101 110 123 165 202 205 246 303 330 410 451 505 606 615 902 1010 1111 1230 1353 1515 2222 2255 2706 3030 3333 4141 4510 5555 6666 6765 8282 8537 11110 12423 13530 16665 17074 20705 24846 25611 33330 41410 42685 45551 51222 62115 85370 91102 93907 124230 128055 136653 187814 227755 256110 273306 281721 350017 455510 469535 563442 683265 700034 862237 939070 1050051 1366530 1408605 1724474 1750085 2100102 2586711 2817210 3500170 3850187 4311185 5173422 5250255 7700374 8622370 9484607 10500510 11550561 12933555 18969214 19250935 23101122 25867110 28453821 35351717 38501870 47423035 56907642 57752805 70703434 94846070 106055151 115505610 142269105 176758585 212110302 284538210 353517170 388868887 530275755 777737774 1060551510 1166606661 1944344435 2333213322 3888688870 5833033305 11666066610