Search a number
-
+
46643472841 = 72308532
BaseRepresentation
bin101011011100001010…
…101110100111001001
311110101122220220222011
4223130022232213021
51231011212112331
633232215255521
73240603656200
oct533412564711
9143348826864
1046643472841
111886602a569
12905897a5a1
134524558394
142386a3c237
15132ed783b1
hexadc2ae9c9

46643472841 has 9 divisors (see below), whose sum is σ = 54260492391. Its totient is φ = 39978823752.

The previous prime is 46643472833. The next prime is 46643472857. The reversal of 46643472841 is 14827434664.

It is a happy number.

The square root of 46643472841 is 215971.

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

It can be written as a sum of positive squares in only one way, i.e., 4944199225 + 41699273616 = 70315^2 + 204204^2 .

It is not a de Polignac number, because 46643472841 - 23 = 46643472833 is a prime.

It is a super-2 number, since 2×466434728412 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (46643472041) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1496371 + ... + 1527223.

It is an arithmetic number, because the mean of its divisors is an integer number (6028943599).

Almost surely, 246643472841 is an apocalyptic number.

46643472841 is the 215971-st square number.

46643472841 is the 107986-th centered octagonal number.

It is an amenable number.

46643472841 is a deficient number, since it is larger than the sum of its proper divisors (7617019550).

46643472841 is an frugal number, since it uses more digits than its factorization.

46643472841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61720 (or 30860 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 49.

Multiplying 46643472841 by its sum of digits (49), we get a square (2285530169209 = 15117972).

46643472841 divided by its sum of digits (49) gives a square (951907609 = 308532).

The spelling of 46643472841 in words is "forty-six billion, six hundred forty-three million, four hundred seventy-two thousand, eight hundred forty-one".

Divisors: 1 7 49 30853 215971 1511797 951907609 6663353263 46643472841