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47152653834841 = 3122215092
BaseRepresentation
bin10101011100010100101010…
…01011101001101001011001
320011221202020112000021120121
422232022111023221221121
522140022113340203331
6244141344035153241
712634444501355062
oct1256122513515131
9204852215007517
1047152653834841
111402a3679059a5
125356600445821
1320406262141c9
14b902b4719569
1556b836eb1c11
hex2ae2952e9a59

47152653834841 has 9 divisors (see below), whose sum is σ = 48722993380863. Its totient is φ = 45631394481960.

The previous prime is 47152653834817. The next prime is 47152653834901. The reversal of 47152653834841 is 14843835625174.

The square root of 47152653834841 is 6866779.

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

47152653834841 is digitally balanced in base 2, 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 only one way, i.e., 14525024391241 + 32627629443600 = 3811171^2 + 5712060^2 .

It is not a de Polignac number, because 47152653834841 - 211 = 47152653832793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47152653834841.

It is not an unprimeable number, because it can be changed into a prime (47152653834241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 212759395 + ... + 212980903.

It is an arithmetic number, because the mean of its divisors is an integer number (5413665931207).

Almost surely, 247152653834841 is an apocalyptic number.

47152653834841 is the 6866779-th square number.

47152653834841 is the 3433390-th centered octagonal number.

It is an amenable number.

47152653834841 is a deficient number, since it is larger than the sum of its proper divisors (1570339546022).

47152653834841 is an frugal number, since it uses more digits than its factorization.

47152653834841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443080 (or 221540 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 61.

The spelling of 47152653834841 in words is "forty-seven trillion, one hundred fifty-two billion, six hundred fifty-three million, eight hundred thirty-four thousand, eight hundred forty-one".

Divisors: 1 31 961 221509 6866779 212870149 49066237081 1521053349511 47152653834841