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10474089649 = 53219312
BaseRepresentation
bin10011100000100110…
…11110110010110001
31000000221211212212021
421300103132302301
5132422331332044
64451200031441
7520362202342
oct116023366261
930027755767
1010474089649
114495394641
122043902581
13cabc9cbaa
147150d20c9
15414808e84
hex2704decb1

10474089649 has 9 divisors (see below), whose sum is σ = 10680974059. Its totient is φ = 10271143480.

The previous prime is 10474089643. The next prime is 10474089653. The reversal of 10474089649 is 94698047401.

The square root of 10474089649 is 102343.

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

10474089649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7550741025 + 2923348624 = 86895^2 + 54068^2 .

It is not a de Polignac number, because 10474089649 - 29 = 10474089137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10474089596 and 10474089605.

It is not an unprimeable number, because it can be changed into a prime (10474089643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5423214 + ... + 5425144.

Almost surely, 210474089649 is an apocalyptic number.

10474089649 is the 102343-rd square number.

10474089649 is the 51172-nd centered octagonal number.

It is an amenable number.

10474089649 is a deficient number, since it is larger than the sum of its proper divisors (206884410).

10474089649 is an frugal number, since it uses more digits than its factorization.

10474089649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 10474089649 in words is "ten billion, four hundred seventy-four million, eighty-nine thousand, six hundred forty-nine".

Divisors: 1 53 1931 2809 102343 3728761 5424179 197624333 10474089649