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11355666806 = 2112192938429
BaseRepresentation
bin10101001001101100…
…11011100101110110
31002022101200122101002
422210312123211312
5141224022314211
65114451203302
7551255401211
oct124466334566
932271618332
1011355666806
1148a7a83600
12224aba6532
1310bc815c93
1479a214778
15466de703b
hex2a4d9b976

11355666806 has 48 divisors (see below), whose sum is σ = 19777791600. Its totient is φ = 4872732480.

The previous prime is 11355666779. The next prime is 11355666809. The reversal of 11355666806 is 60866655311.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355666809) 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 23 ways as a sum of consecutive naturals, for example, 1343000 + ... + 1351428.

It is an arithmetic number, because the mean of its divisors is an integer number (412037325).

Almost surely, 211355666806 is an apocalyptic number.

11355666806 is a deficient number, since it is larger than the sum of its proper divisors (8422124794).

11355666806 is a wasteful number, since it uses less digits than its factorization.

11355666806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 11355666806 in words is "eleven billion, three hundred fifty-five million, six hundred sixty-six thousand, eight hundred six".

Divisors: 1 2 11 19 22 38 121 209 242 293 418 586 2299 3223 4598 5567 6446 8429 11134 16858 35453 61237 70906 92719 122474 160151 185438 320302 673607 1019909 1347214 1761661 2039818 2469697 3523322 4939394 19378271 27166667 38756542 46924243 54333334 93848486 298833337 516166673 597666674 1032333346 5677833403 11355666806