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10028029275369 = 327222739295409
BaseRepresentation
bin1001000111101101010100…
…0111110110110011101001
31022111200002121020222020100
42101323111013312303221
52303244400443302434
633154451341420013
72053333625301300
oct221732507666351
938450077228210
1010028029275369
113216955106506
12115b5ba86a609
13579840156471
1426950593d437
15125cbaa3d699
hex91ed51f6ce9

10028029275369 has 18 divisors (see below), whose sum is σ = 16849817898810. Its totient is φ = 5730302442816.

The previous prime is 10028029275311. The next prime is 10028029275371. The reversal of 10028029275369 is 96357292082001.

10028029275369 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 8 + 0 + 2 + 9 + 275 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9387869265369 + 640160010000 = 3063963^2 + 800100^2 .

It is not a de Polignac number, because 10028029275369 - 27 = 10028029275241 is a prime.

It is a super-2 number, since 2×100280292753692 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10028029275769) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11369647264 + ... + 11369648145.

Almost surely, 210028029275369 is an apocalyptic number.

It is an amenable number.

10028029275369 is a deficient number, since it is larger than the sum of its proper divisors (6821788623441).

10028029275369 is a wasteful number, since it uses less digits than its factorization.

10028029275369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22739295429 (or 22739295419 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10028029275369 in words is "ten trillion, twenty-eight billion, twenty-nine million, two hundred seventy-five thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 22739295409 68217886227 159175067863 204653658681 477525203589 1114225475041 1432575610767 3342676425123 10028029275369