Search a number
-
+
4746241645 = 517296732861
BaseRepresentation
bin1000110101110010…
…11110011001101101
3110020202220001112121
410122321132121231
534210014213040
62102544232541
7225421250125
oct43271363155
913222801477
104746241645
112016147662
12b0560b751
135a8401612
143304c7c85
151cba2dc4a
hex11ae5e66d

4746241645 has 32 divisors (see below), whose sum is σ = 6249921120. Its totient is φ = 3444080640.

The previous prime is 4746241627. The next prime is 4746241651. The reversal of 4746241645 is 5461426474.

4746241645 is digitally balanced in base 3, 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 16 ways, for example, as 596434084 + 4149807561 = 24422^2 + 64419^2 .

It is not a de Polignac number, because 4746241645 - 27 = 4746241517 is a prime.

It is a super-3 number, since 3×47462416453 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657515 + ... + 1660375.

It is an arithmetic number, because the mean of its divisors is an integer number (195310035).

Almost surely, 24746241645 is an apocalyptic number.

It is an amenable number.

4746241645 is a deficient number, since it is larger than the sum of its proper divisors (1503679475).

4746241645 is a wasteful number, since it uses less digits than its factorization.

4746241645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585.

The product of its digits is 645120, while the sum is 43.

The square root of 4746241645 is about 68892.9723919646. The cubic root of 4746241645 is about 1680.5442356421.

The spelling of 4746241645 in words is "four billion, seven hundred forty-six million, two hundred forty-one thousand, six hundred forty-five".

Divisors: 1 5 17 29 85 145 493 673 2465 2861 3365 11441 14305 19517 48637 57205 82969 97585 243185 331789 414845 1410473 1658945 1925453 7052365 9627265 32732701 55838137 163663505 279190685 949248329 4746241645