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10864813985 = 5171947143137
BaseRepresentation
bin10100001111001011…
…11110011110100001
31001001012001201212222
422013211332132201
5134222343021420
64554034400425
7533145252344
oct120745763641
931035051788
1010864813985
1146759a4613
122132730115
131041c1451c
14750d6045b
15438c89225
hex28797e7a1

10864813985 has 32 divisors (see below), whose sum is σ = 14840547840. Its totient is φ = 7585062912.

The previous prime is 10864813969. The next prime is 10864813987. The reversal of 10864813985 is 58931846801.

It is a cyclic number.

It is not a de Polignac number, because 10864813985 - 24 = 10864813969 is a prime.

It is a super-3 number, since 3×108648139853 (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10864813987) 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 31 ways as a sum of consecutive naturals, for example, 4337 + ... + 147473.

It is an arithmetic number, because the mean of its divisors is an integer number (463767120).

Almost surely, 210864813985 is an apocalyptic number.

It is an amenable number.

10864813985 is a deficient number, since it is larger than the sum of its proper divisors (3975733855).

10864813985 is a wasteful number, since it uses less digits than its factorization.

10864813985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143225.

The product of its (nonzero) digits is 1658880, while the sum is 53.

The spelling of 10864813985 in words is "ten billion, eight hundred sixty-four million, eight hundred thirteen thousand, nine hundred eighty-five".

Divisors: 1 5 17 19 47 85 95 235 323 799 893 1615 3995 4465 15181 75905 143137 715685 2433329 2719603 6727439 12166645 13598015 33637195 46233251 114366463 127821341 231166255 571832315 639106705 2172962797 10864813985