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4471730641 = 724122332
BaseRepresentation
bin1000010101000100…
…10011000111010001
3102112122100110020101
410022202103013101
533124230340031
62015420412401
7215546040400
oct41242230721
912478313211
104471730641
1119951a2464
12a496a7101
13563589481
14305c6b637
151b28a7361
hex10a8931d1

4471730641 has 27 divisors (see below), whose sum is σ = 5354758353. Its totient is φ = 3723377280.

The previous prime is 4471730623. The next prime is 4471730647. The reversal of 4471730641 is 1460371744.

It is a happy number.

The square root of 4471730641 is 66871.

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 2665140625 + 1806590016 = 51625^2 + 42504^2 .

It is not a de Polignac number, because 4471730641 - 27 = 4471730513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4471730641.

It is not an unprimeable number, because it can be changed into a prime (4471730647) 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 26 ways as a sum of consecutive naturals, for example, 19191861 + ... + 19192093.

Almost surely, 24471730641 is an apocalyptic number.

4471730641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4471730641 is the 66871-st square number.

4471730641 is the 33436-th centered octagonal number.

It is an amenable number.

4471730641 is a deficient number, since it is larger than the sum of its proper divisors (883027712).

4471730641 is an frugal number, since it uses more digits than its factorization.

4471730641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The cubic root of 4471730641 is about 1647.4991979536.

The spelling of 4471730641 in words is "four billion, four hundred seventy-one million, seven hundred thirty thousand, six hundred forty-one".

Divisors: 1 7 41 49 233 287 1631 1681 2009 9553 11417 11767 54289 66871 82369 380023 391673 468097 2225849 2660161 2741711 15580943 19191977 91259809 109066601 638818663 4471730641