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6166056961 = 17615946053
BaseRepresentation
bin1011011111000011…
…01001000000000001
3120220201112011000001
411233201221000001
5100112002310321
62455504000001
7305541422311
oct55741510001
916821464001
106166056961
11268463a949
121241000001
137735ca41c
14426cb7441
152614d9c91
hex16f869001

6166056961 has 8 divisors (see below), whose sum is σ = 6635796264. Its totient is φ = 5708209920.

The previous prime is 6166056931. The next prime is 6166057003. The reversal of 6166056961 is 1696506616.

It can be written as a sum of positive squares in 4 ways, for example, as 2034010000 + 4132046961 = 45100^2 + 64281^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 6166056961 - 217 = 6165925889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6166056931) 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, 2971990 + ... + 2974063.

It is an arithmetic number, because the mean of its divisors is an integer number (829474533).

Almost surely, 26166056961 is an apocalyptic number.

6166056961 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6166056961 is a deficient number, since it is larger than the sum of its proper divisors (469739303).

6166056961 is a wasteful number, since it uses less digits than its factorization.

6166056961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946131.

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 6166056961 is about 78524.2444153396. The cubic root of 6166056961 is about 1833.7319168164.

The spelling of 6166056961 in words is "six billion, one hundred sixty-six million, fifty-six thousand, nine hundred sixty-one".

Divisors: 1 17 61 1037 5946053 101082901 362709233 6166056961