Search a number
-
+
11976832091137 is a prime number
BaseRepresentation
bin1010111001001001001011…
…0100101000010000000001
31120101222022000120101112211
42232102102310220100001
53032212023003404022
641250025233222121
72344204031023504
oct256222264502001
946358260511484
1011976832091137
1138a8389530a91
121415234a01941
1368b544901184
142d5978aa313b
1515b828ee4e77
hexae492d28401

11976832091137 has 2 divisors, whose sum is σ = 11976832091138. Its totient is φ = 11976832091136.

The previous prime is 11976832091123. The next prime is 11976832091149. The reversal of 11976832091137 is 73119023867911.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10610811115776 + 1366020975361 = 3257424^2 + 1168769^2 .

It is a cyclic number.

It is not a de Polignac number, because 11976832091137 - 231 = 11974684607489 is a prime.

It is not a weakly prime, because it can be changed into another prime (11976832391137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5988416045568 + 5988416045569.

It is an arithmetic number, because the mean of its divisors is an integer number (5988416045569).

Almost surely, 211976832091137 is an apocalyptic number.

It is an amenable number.

11976832091137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11976832091137 is an equidigital number, since it uses as much as digits as its factorization.

11976832091137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3429216, while the sum is 58.

The spelling of 11976832091137 in words is "eleven trillion, nine hundred seventy-six billion, eight hundred thirty-two million, ninety-one thousand, one hundred thirty-seven".