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10956606401 = 131997422041
BaseRepresentation
bin10100011010001000…
…01000101111000001
31001021120210021102002
422031010020233001
5134414342401101
65011114033345
7535341421616
oct121504105701
931246707362
1010956606401
11471279a614
122159418855
131057c43270
1475d21650d
15441d6bd6b
hex28d108bc1

10956606401 has 8 divisors (see below), whose sum is σ = 11805358824. Its totient is φ = 10108702080.

The previous prime is 10956606371. The next prime is 10956606421. The reversal of 10956606401 is 10460665901.

It can be written as a sum of positive squares in 4 ways, for example, as 1499238400 + 9457368001 = 38720^2 + 97249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10956606401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10956606421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185060 + ... + 236981.

It is an arithmetic number, because the mean of its divisors is an integer number (1475669853).

Almost surely, 210956606401 is an apocalyptic number.

It is an amenable number.

10956606401 is a deficient number, since it is larger than the sum of its proper divisors (848752423).

10956606401 is a wasteful number, since it uses less digits than its factorization.

10956606401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424051.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 10956606401 in words is "ten billion, nine hundred fifty-six million, six hundred six thousand, four hundred one".

Divisors: 1 13 1997 25961 422041 5486533 842815877 10956606401