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164719904449 = 4058572
BaseRepresentation
bin1001100101101000010…
…0100100011011000001
3120202011121120010200211
42121122010210123001
510144321243420244
6203400555114121
714620625041402
oct2313204443301
9522147503624
10164719904449
1163948101241
1227b10442941
13126c10794a9
147d887039a9
154441017934
hex265a1246c1

164719904449 has 3 divisors (see below), whose sum is σ = 164720310307. Its totient is φ = 164719498592.

The previous prime is 164719904417. The next prime is 164719904519. The reversal of 164719904449 is 944409917461.

The square root of 164719904449 is 405857.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 944409917461 = 7312937122157.

It can be written as a sum of positive squares in only one way, i.e., 45120132225 + 119599772224 = 212415^2 + 345832^2 .

It is not a de Polignac number, because 164719904449 - 25 = 164719904417 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164719904393 and 164719904402.

It is not an unprimeable number, because it can be changed into a prime (164719904549) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 202929 + ... + 608785.

Almost surely, 2164719904449 is an apocalyptic number.

164719904449 is the 405857-th square number.

164719904449 is the 202929-th centered octagonal number.

It is an amenable number.

164719904449 is a deficient number, since it is larger than the sum of its proper divisors (405858).

164719904449 is an frugal number, since it uses more digits than its factorization.

164719904449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811714 (or 405857 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 164719904449 in words is "one hundred sixty-four billion, seven hundred nineteen million, nine hundred four thousand, four hundred forty-nine".

Divisors: 1 405857 164719904449