Search a number
-
+
4149807561 = 3210921972
BaseRepresentation
bin1111011101011001…
…0000100111001001
3101201012121001210100
43313112100213021
531444322320221
61523440440013
7204556532214
oct36726204711
911635531710
104149807561
11183a504929
12979919009
13511983b43
142b51cc77b
151944b7926
hexf75909c9

4149807561 has 27 divisors (see below), whose sum is σ = 6080528181. Its totient is φ = 2727242784.

The previous prime is 4149807551. The next prime is 4149807581. The reversal of 4149807561 is 1657089414.

The square root of 4149807561 is 64419.

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

4149807561 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 80 + 7 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2322758025 + 1827049536 = 48195^2 + 42744^2 .

It is not a de Polignac number, because 4149807561 - 213 = 4149799369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4149807521) 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 26 ways as a sum of consecutive naturals, for example, 21064915 + ... + 21065111.

Almost surely, 24149807561 is an apocalyptic number.

4149807561 is the 64419-th square number.

4149807561 is the 32210-th centered octagonal number.

It is an amenable number.

4149807561 is a deficient number, since it is larger than the sum of its proper divisors (1930720620).

4149807561 is an equidigital number, since it uses as much as digits as its factorization.

4149807561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The cubic root of 4149807561 is about 1606.9757355856.

The spelling of 4149807561 in words is "four billion, one hundred forty-nine million, eight hundred seven thousand, five hundred sixty-one".

Divisors: 1 3 9 109 197 327 591 981 1773 11881 21473 35643 38809 64419 106929 116427 193257 349281 2340557 4230181 7021671 12690543 21065013 38071629 461089729 1383269187 4149807561