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10973797146 = 2321346896569
BaseRepresentation
bin10100011100001011…
…01101101100011010
31001022210010122200100
422032011231230122
5134433243002041
65012530320230
7535640510454
oct121605555432
931283118610
1010973797146
114721471244
122163129076
13105b681ac0
1476160d2d4
154436156b6
hex28e16db1a

10973797146 has 24 divisors (see below), whose sum is σ = 25605527220. Its totient is φ = 3376552896.

The previous prime is 10973797123. The next prime is 10973797147. The reversal of 10973797146 is 64179737901.

10973797146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8725614921 + 2248182225 = 93411^2 + 47415^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10973797092 and 10973797101.

It is not an unprimeable number, because it can be changed into a prime (10973797147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23448051 + ... + 23448518.

Almost surely, 210973797146 is an apocalyptic number.

10973797146 is an abundant number, since it is smaller than the sum of its proper divisors (14631730074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10973797146 is a wasteful number, since it uses less digits than its factorization.

10973797146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46896590 (or 46896587 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 10973797146 in words is "ten billion, nine hundred seventy-three million, seven hundred ninety-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 46896569 93793138 140689707 281379414 422069121 609655397 844138242 1219310794 1828966191 3657932382 5486898573 10973797146