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43315234007761 = 17246728292
BaseRepresentation
bin10011101100101000111010…
…01000101110101011010001
312200100220012010121002111101
421312110131020232223101
521134134044401222021
6232042424354344401
712060264610130122
oct1166243510565321
9180326163532441
1043315234007761
111288a98440a601
124a3694828b101
131b227bc0a5831
14a9a67b850049
15501ade259a91
hex27651d22ead1

43315234007761 has 27 divisors (see below), whose sum is σ = 46167499198929. Its totient is φ = 40630911815808.

The previous prime is 43315234007713. The next prime is 43315234007767. The reversal of 43315234007761 is 16770043251334.

The square root of 43315234007761 is 6581431.

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

43315234007761 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 4 ways, for example, as 5705911577025 + 37609322430736 = 2388705^2 + 6132644^2 .

It is a de Polignac number, because none of the positive numbers 2k-43315234007761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43315234007767) 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 26 ways as a sum of consecutive naturals, for example, 52249980295 + ... + 52249981123.

Almost surely, 243315234007761 is an apocalyptic number.

43315234007761 is the 6581431-st square number.

43315234007761 is the 3290716-th centered octagonal number.

It is an amenable number.

43315234007761 is a deficient number, since it is larger than the sum of its proper divisors (2852265191168).

43315234007761 is an frugal number, since it uses more digits than its factorization.

43315234007761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 43315234007761 in words is "forty-three trillion, three hundred fifteen billion, two hundred thirty-four million, seven thousand, seven hundred sixty-one".

Divisors: 1 17 289 467 829 7939 14093 134963 218089 239581 387143 687241 3707513 6581431 11683097 63027721 111884327 180795781 198612649 320941547 3073528277 5456006299 52249980709 92752107083 149879702449 2547954941633 43315234007761