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10680183768001 = 118920535313823
BaseRepresentation
bin1001101101101010110010…
…0011110100001111000001
31101211000102100222202121211
42123122230203310033001
52344441004021034001
634414224135450121
72151421624104556
oct233325443641701
941730370882554
1010680183768001
11344849333a280
121245a83b26941
135c61a20107a7
1428ccd0706a2d
15137c3947e351
hex9b6ac8f43c1

10680183768001 has 16 divisors (see below), whose sum is σ = 11787762055680. Its totient is φ = 9595487214720.

The previous prime is 10680183767963. The next prime is 10680183768011. The reversal of 10680183768001 is 10086738108601.

10680183768001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10680183768001 - 243 = 1884090745793 is a prime.

It is a super-2 number, since 2×106801837680012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10680183768011) 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, 647025 + ... + 4666798.

It is an arithmetic number, because the mean of its divisors is an integer number (736735128480).

Almost surely, 210680183768001 is an apocalyptic number.

10680183768001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10680183768001 is a deficient number, since it is larger than the sum of its proper divisors (1107578287679).

10680183768001 is a wasteful number, since it uses less digits than its factorization.

10680183768001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315976.

The product of its (nonzero) digits is 387072, while the sum is 49.

The spelling of 10680183768001 in words is "ten trillion, six hundred eighty billion, one hundred eighty-three million, seven hundred sixty-eight thousand, one".

Divisors: 1 11 89 979 2053 22583 182717 2009887 5313823 58452053 472930247 5202232717 10909278619 120002064809 970925797091 10680183768001