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9948916801 is a prime number
BaseRepresentation
bin10010100010000000…
…00110110001000001
3221200100122100011001
421101000012301001
5130333410314201
64323115452001
7501354253225
oct112100066101
927610570131
109948916801
1142459a449a
121b17a57001
13c27243025
146a5466785
153d366c301
hex251006c41

9948916801 has 2 divisors, whose sum is σ = 9948916802. Its totient is φ = 9948916800.

The previous prime is 9948916753. The next prime is 9948916811. The reversal of 9948916801 is 1086198499.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5917301776 + 4031615025 = 76924^2 + 63495^2 .

It is an emirp because it is prime and its reverse (1086198499) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9948916801 - 27 = 9948916673 is a prime.

It is not a weakly prime, because it can be changed into another prime (9948916811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4974458400 + 4974458401.

It is an arithmetic number, because the mean of its divisors is an integer number (4974458401).

Almost surely, 29948916801 is an apocalyptic number.

It is an amenable number.

9948916801 is a deficient number, since it is larger than the sum of its proper divisors (1).

9948916801 is an equidigital number, since it uses as much as digits as its factorization.

9948916801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1119744, while the sum is 55.

The square root of 9948916801 is about 99744.2569825451. The cubic root of 9948916801 is about 2150.7599117293.

The spelling of 9948916801 in words is "nine billion, nine hundred forty-eight million, nine hundred sixteen thousand, eight hundred one".