Search a number
-
+
1027932933829 is a prime number
BaseRepresentation
bin11101111010101011001…
…00111100111011000101
310122021021102011111010211
432331111210330323011
5113320201312340304
62104120442115421
7134160064525624
oct16752544747305
93567242144124
101027932933829
11366a4238557a
121472787abb71
1375c1a334259
1437a761396bb
151bb13b81204
hexef5593cec5

1027932933829 has 2 divisors, whose sum is σ = 1027932933830. Its totient is φ = 1027932933828.

The previous prime is 1027932933817. The next prime is 1027932933887. The reversal of 1027932933829 is 9283392397201.

It is an a-pointer prime, because the next prime (1027932933887) can be obtained adding 1027932933829 to its sum of digits (58).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 524965457025 + 502967476804 = 724545^2 + 709202^2 .

It is a cyclic number.

It is not a de Polignac number, because 1027932933829 - 227 = 1027798716101 is a prime.

It is a super-2 number, since 2×10279329338292 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1027932933809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 513966466914 + 513966466915.

It is an arithmetic number, because the mean of its divisors is an integer number (513966466915).

Almost surely, 21027932933829 is an apocalyptic number.

It is an amenable number.

1027932933829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1027932933829 is an equidigital number, since it uses as much as digits as its factorization.

1027932933829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 1027932933829 in words is "one trillion, twenty-seven billion, nine hundred thirty-two million, nine hundred thirty-three thousand, eight hundred twenty-nine".