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2166197953 = 17303741957
BaseRepresentation
bin1000000100011101…
…1000111011000001
312120222002020221211
42001013120323001
513414021313303
6554541050121
7104452243633
oct20107307301
95528066854
102166197953
11a11842647
12505556941
13286a27c4a
1416799ca53
15ca29166d
hex811d8ec1

2166197953 has 8 divisors (see below), whose sum is σ = 2294431272. Its totient is φ = 2038054656.

The previous prime is 2166197939. The next prime is 2166197959. The reversal of 2166197953 is 3597916612.

It can be written as a sum of positive squares in 4 ways, for example, as 1017801409 + 1148396544 = 31903^2 + 33888^2 .

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

It is not a de Polignac number, because 2166197953 - 29 = 2166197441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2166197897 and 2166197906.

It is not an unprimeable number, because it can be changed into a prime (2166197959) 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, 30651 + ... + 72607.

It is an arithmetic number, because the mean of its divisors is an integer number (286803909).

Almost surely, 22166197953 is an apocalyptic number.

It is an amenable number.

2166197953 is a deficient number, since it is larger than the sum of its proper divisors (128233319).

2166197953 is a wasteful number, since it uses less digits than its factorization.

2166197953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45011.

The product of its digits is 612360, while the sum is 49.

The square root of 2166197953 is about 46542.4317478148. The cubic root of 2166197953 is about 1293.8960300737.

The spelling of 2166197953 in words is "two billion, one hundred sixty-six million, one hundred ninety-seven thousand, nine hundred fifty-three".

Divisors: 1 17 3037 41957 51629 713269 127423409 2166197953