Search a number
-
+
4661047665 = 335331104309
BaseRepresentation
bin1000101011101000…
…11111000101110001
3110000211120202101000
410111310133011301
534021212011130
62050302232213
7223335152151
oct42564370561
913024522330
104661047665
111a8204910a
12aa0b85669
13593873091
1432306c761
151c4301260
hex115d1f171

4661047665 has 32 divisors (see below), whose sum is σ = 8311420800. Its totient is φ = 2478358080.

The previous prime is 4661047631. The next prime is 4661047667. The reversal of 4661047665 is 5667401664.

It is not a de Polignac number, because 4661047665 - 27 = 4661047537 is a prime.

It is a super-3 number, since 3×46610476653 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4661047665.

It is not an unprimeable number, because it can be changed into a prime (4661047667) 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 31 ways as a sum of consecutive naturals, for example, 7470 + ... + 96839.

It is an arithmetic number, because the mean of its divisors is an integer number (259731900).

Almost surely, 24661047665 is an apocalyptic number.

4661047665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4661047665 is a deficient number, since it is larger than the sum of its proper divisors (3650373135).

4661047665 is a wasteful number, since it uses less digits than its factorization.

4661047665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104654 (or 104648 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4661047665 is about 68271.8658379863. The cubic root of 4661047665 is about 1670.4283344371.

The spelling of 4661047665 in words is "four billion, six hundred sixty-one million, forty-seven thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 331 993 1655 2979 4965 8937 14895 44685 104309 312927 521545 938781 1564635 2816343 4693905 14081715 34526279 103578837 172631395 310736511 517894185 932209533 1553682555 4661047665