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22648052446009 = 1722799412
BaseRepresentation
bin1010010011001001010010…
…00111101111001100111001
32222012010120201022120220121
411021210221013233030321
510432031202411233014
6120100212140053241
74525160565311524
oct511445107571471
988163521276817
1022648052446009
117241a92199311
122659416b34221
13c839189017c3
14584258b99bbb
152941db5c3124
hex1499291ef339

22648052446009 has 9 divisors (see below), whose sum is σ = 24058743730861. Its totient is φ = 21315737922880.

The previous prime is 22648052446003. The next prime is 22648052446027. The reversal of 22648052446009 is 90064425084622.

It is a happy number.

The square root of 22648052446009 is 4758997.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16904226675625 + 5743825770384 = 4111475^2 + 2396628^2 .

It is not a de Polignac number, because 22648052446009 - 23 = 22648052446001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22648052446001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80762979 + ... + 81042919.

Almost surely, 222648052446009 is an apocalyptic number.

22648052446009 is the 4758997-th square number.

22648052446009 is the 2379499-th centered octagonal number.

It is an amenable number.

22648052446009 is a deficient number, since it is larger than the sum of its proper divisors (1410691284852).

22648052446009 is an frugal number, since it uses more digits than its factorization.

22648052446009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559916 (or 279958 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 22648052446009 in words is "twenty-two trillion, six hundred forty-eight billion, fifty-two million, four hundred forty-six thousand, nine".

Divisors: 1 17 289 279941 4758997 80902949 78366963481 1332238379177 22648052446009