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16205227961 = 1311311031469
BaseRepresentation
bin11110001011110100…
…00010011110111001
31112211100222212122012
433011322002132321
5231142014243321
611240010135305
71112403110366
oct170572023671
945740885565
1016205227961
11696647968a
123183121535
1316b3450cb0
14ada31546d
1564ca3405b
hex3c5e827b9

16205227961 has 8 divisors (see below), whose sum is σ = 17606226120. Its totient is φ = 14826292992.

The previous prime is 16205227949. The next prime is 16205227963. The reversal of 16205227961 is 16972250261.

It can be written as a sum of positive squares in 4 ways, for example, as 47004736 + 16158223225 = 6856^2 + 127115^2 .

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 16205227961 - 210 = 16205226937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16205227963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5514266 + ... + 5517203.

It is an arithmetic number, because the mean of its divisors is an integer number (2200778265).

Almost surely, 216205227961 is an apocalyptic number.

It is an amenable number.

16205227961 is a deficient number, since it is larger than the sum of its proper divisors (1400998159).

16205227961 is a wasteful number, since it uses less digits than its factorization.

16205227961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11031595.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 16205227961 in words is "sixteen billion, two hundred five million, two hundred twenty-seven thousand, nine hundred sixty-one".

Divisors: 1 13 113 1469 11031469 143409097 1246555997 16205227961