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10295087085 = 325415579993
BaseRepresentation
bin10011001011010001…
…01000111111101101
3222120111000121111200
421211220220333231
5132041020241320
64421323240113
7513056540103
oct114550507755
928514017450
1010295087085
114403343338
121bb3979039
13c80b8800a
146d9417c73
15403c4b290
hex265a28fed

10295087085 has 24 divisors (see below), whose sum is σ = 18280060344. Its totient is φ = 5356792320.

The previous prime is 10295087057. The next prime is 10295087107. The reversal of 10295087085 is 58078059201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7650756 + 10287436329 = 2766^2 + 101427^2 .

It is not a de Polignac number, because 10295087085 - 27 = 10295086957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10295087085.

It is a congruent number.

It is an unprimeable number.

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, 2788152 + ... + 2791841.

It is an arithmetic number, because the mean of its divisors is an integer number (761669181).

Almost surely, 210295087085 is an apocalyptic number.

10295087085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10295087085 is a deficient number, since it is larger than the sum of its proper divisors (7984973259).

10295087085 is a wasteful number, since it uses less digits than its factorization.

10295087085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580045 (or 5580042 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 10295087085 in words is "ten billion, two hundred ninety-five million, eighty-seven thousand, eighty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 5579993 16739979 27899965 50219937 83699895 228779713 251099685 686339139 1143898565 2059017417 3431695695 10295087085