Search a number
-
+
32802749611441 is a prime number
BaseRepresentation
bin1110111010101011111000…
…01111001111110110110001
311022010220122000120002020121
413131111330033033312301
513244420012400031231
6153433213010210241
76623630500121215
oct735257417176661
9138126560502217
1032802749611441
11a4a7627a98387
123819486583981
13153c3944b6cb4
1481593942a945
153bd41c67d311
hex1dd57c3cfdb1

32802749611441 has 2 divisors, whose sum is σ = 32802749611442. Its totient is φ = 32802749611440.

The previous prime is 32802749611439. The next prime is 32802749611493. The reversal of 32802749611441 is 14411694720823.

It is an a-pointer prime, because the next prime (32802749611493) can be obtained adding 32802749611441 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32436840762225 + 365908849216 = 5695335^2 + 604904^2 .

It is a cyclic number.

It is not a de Polignac number, because 32802749611441 - 21 = 32802749611439 is a prime.

Together with 32802749611439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (32802749611241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16401374805720 + 16401374805721.

It is an arithmetic number, because the mean of its divisors is an integer number (16401374805721).

Almost surely, 232802749611441 is an apocalyptic number.

It is an amenable number.

32802749611441 is a deficient number, since it is larger than the sum of its proper divisors (1).

32802749611441 is an equidigital number, since it uses as much as digits as its factorization.

32802749611441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 32802749611441 in words is "thirty-two trillion, eight hundred two billion, seven hundred forty-nine million, six hundred eleven thousand, four hundred forty-one".