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7826011201 is a prime number
BaseRepresentation
bin1110100100111011…
…10111010001000001
3202012102000120010201
413102131313101001
5112011424324301
63332322325201
7364635666121
oct72235672101
922172016121
107826011201
113356641058
121624ab9801
13979495378
14543536c81
1530c0cd201
hex1d2777441

7826011201 has 2 divisors, whose sum is σ = 7826011202. Its totient is φ = 7826011200.

The previous prime is 7826011199. The next prime is 7826011241. The reversal of 7826011201 is 1021106287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7170702400 + 655308801 = 84680^2 + 25599^2 .

It is a cyclic number.

It is not a de Polignac number, because 7826011201 - 21 = 7826011199 is a prime.

It is a super-2 number, since 2×78260112012 (a number of 21 digits) contains 22 as substring.

Together with 7826011199, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 7826011201.

It is not a weakly prime, because it can be changed into another prime (7826011241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3913005600 + 3913005601.

It is an arithmetic number, because the mean of its divisors is an integer number (3913005601).

Almost surely, 27826011201 is an apocalyptic number.

It is an amenable number.

7826011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

7826011201 is an equidigital number, since it uses as much as digits as its factorization.

7826011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 7826011201 is about 88464.7455261134. The cubic root of 7826011201 is about 1985.3945332229.

Adding to 7826011201 its reverse (1021106287), we get a palindrome (8847117488).

The spelling of 7826011201 in words is "seven billion, eight hundred twenty-six million, eleven thousand, two hundred one".