Search a number
-
+
7038820993 is a prime number
BaseRepresentation
bin1101000111000101…
…11110001010000001
3200011112210011011211
412203202332022001
5103403414232433
63122242210121
7336266664001
oct64342761201
920145704154
107038820993
112a9225a436
121445353941
13882378c49
144aab84001
152b2e368cd
hex1a38be281

7038820993 has 2 divisors, whose sum is σ = 7038820994. Its totient is φ = 7038820992.

The previous prime is 7038820937. The next prime is 7038821011. The reversal of 7038820993 is 3990288307.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5790753409 + 1248067584 = 76097^2 + 35328^2 .

It is a cyclic number.

It is not a de Polignac number, because 7038820993 - 217 = 7038689921 is a prime.

It is not a weakly prime, because it can be changed into another prime (7038820193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3519410496 + 3519410497.

It is an arithmetic number, because the mean of its divisors is an integer number (3519410497).

Almost surely, 27038820993 is an apocalyptic number.

It is an amenable number.

7038820993 is a deficient number, since it is larger than the sum of its proper divisors (1).

7038820993 is an equidigital number, since it uses as much as digits as its factorization.

7038820993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 7038820993 is about 83897.6816902589. The cubic root of 7038820993 is about 1916.4609459892.

The spelling of 7038820993 in words is "seven billion, thirty-eight million, eight hundred twenty thousand, nine hundred ninety-three".