Search a number
-
+
32908109160481 = 732785832
BaseRepresentation
bin1110111101110000001000…
…01010000010000000100001
311022111222120201010201121121
413132320010022002000201
513303131301421113411
6153553435431052241
76634350423402142
oct736700412020041
9138458521121547
1032908109160481
11a538283787a55
12383598b211081
1315492b54a2a19
1481aa921c3ac9
153c1037192571
hex1dee04282021

32908109160481 has 9 divisors (see below), whose sum is σ = 33365505053619. Its totient is φ = 32456900112336.

The previous prime is 32908109160439. The next prime is 32908109160497. The reversal of 32908109160481 is 18406190180923.

The square root of 32908109160481 is 5736559.

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., 18680245864225 + 14227863296256 = 4322065^2 + 3771984^2 .

It is a de Polignac number, because none of the positive numbers 2k-32908109160481 is a prime.

It is a super-2 number, since 2×329081091604812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32908109160281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 418729516 + ... + 418808098.

It is an arithmetic number, because the mean of its divisors is an integer number (3707278339291).

Almost surely, 232908109160481 is an apocalyptic number.

32908109160481 is the 5736559-th square number.

32908109160481 is the 2868280-th centered octagonal number.

It is an amenable number.

32908109160481 is a deficient number, since it is larger than the sum of its proper divisors (457395893138).

32908109160481 is an frugal number, since it uses more digits than its factorization.

32908109160481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157312 (or 78656 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 32908109160481 in words is "thirty-two trillion, nine hundred eight billion, one hundred nine million, one hundred sixty thousand, four hundred eighty-one".

Divisors: 1 73 5329 78583 5736559 418768807 6175287889 450796015897 32908109160481