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8355000965 = 517109901781
BaseRepresentation
bin1111100011111111…
…10011001010000101
3210120021102000200012
413301333303022011
5114102340012330
63501020400005
7414021223253
oct76177631205
923507360605
108355000965
1135a81a8983
1217520a6005
13a31c5a66c
145938b75d3
1533d770c95
hex1f1ff3285

8355000965 has 16 divisors (see below), whose sum is σ = 10713170160. Its totient is φ = 6233103360.

The previous prime is 8355000937. The next prime is 8355000977. The reversal of 8355000965 is 5690005538.

It can be written as a sum of positive squares in 8 ways, for example, as 1237210276 + 7117790689 = 35174^2 + 84367^2 .

It is not a de Polignac number, because 8355000965 - 224 = 8338223749 is a prime.

It is a super-2 number, since 2×83550009652 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441626 + ... + 460155.

It is an arithmetic number, because the mean of its divisors is an integer number (669573135).

Almost surely, 28355000965 is an apocalyptic number.

8355000965 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8355000965 is a deficient number, since it is larger than the sum of its proper divisors (2358169195).

8355000965 is a wasteful number, since it uses less digits than its factorization.

8355000965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901912.

The product of its (nonzero) digits is 162000, while the sum is 41.

The square root of 8355000965 is about 91405.6943795079. The cubic root of 8355000965 is about 2029.1563032826.

The spelling of 8355000965 in words is "eight billion, three hundred fifty-five million, nine hundred sixty-five", and thus it is an aban number.

Divisors: 1 5 17 85 109 545 1853 9265 901781 4508905 15330277 76651385 98294129 491470645 1671000193 8355000965