Search a number
-
+
8268027201 = 327218748361
BaseRepresentation
bin1111011001101000…
…00001010101000001
3210100012202022002200
413230310001111001
5113413103332301
63444232303413
7411614033400
oct75464012501
923305668080
108268027201
1135630a4235
121728b41b69
13a19c27cb5
14586117637
15335ce0c86
hex1ecd01541

8268027201 has 18 divisors (see below), whose sum is σ = 13892536242. Its totient is φ = 4724586720.

The previous prime is 8268027199. The next prime is 8268027203. The reversal of 8268027201 is 1027208628.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8268027199) and next prime (8268027203).

It can be written as a sum of positive squares in only one way, i.e., 6218111025 + 2049916176 = 78855^2 + 45276^2 .

It is not a de Polignac number, because 8268027201 - 21 = 8268027199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8268027203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9373740 + ... + 9374621.

It is an arithmetic number, because the mean of its divisors is an integer number (771807569).

Almost surely, 28268027201 is an apocalyptic number.

It is an amenable number.

8268027201 is a deficient number, since it is larger than the sum of its proper divisors (5624509041).

8268027201 is a wasteful number, since it uses less digits than its factorization.

8268027201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18748381 (or 18748371 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8268027201 is about 90928.6929467261. The cubic root of 8268027201 is about 2022.0907021686.

The spelling of 8268027201 in words is "eight billion, two hundred sixty-eight million, twenty-seven thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 18748361 56245083 131238527 168735249 393715581 918669689 1181146743 2756009067 8268027201