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10824961949 is a prime number
BaseRepresentation
bin10100001010011011…
…11100111110011101
31000221102002001011122
422011031330332131
5134132142240244
64550052300325
7532152441554
oct120515747635
930842061148
1010824961949
11465545514a
1221213116a5
1310368a0139
14749948d9b
154355161ee
hex28537cf9d

10824961949 has 2 divisors, whose sum is σ = 10824961950. Its totient is φ = 10824961948.

The previous prime is 10824961919. The next prime is 10824961957. The reversal of 10824961949 is 94916942801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9985005625 + 839956324 = 99925^2 + 28982^2 .

It is an emirp because it is prime and its reverse (94916942801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10824961949 - 228 = 10556526493 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10824961949.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10824961919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5412480974 + 5412480975.

It is an arithmetic number, because the mean of its divisors is an integer number (5412480975).

Almost surely, 210824961949 is an apocalyptic number.

It is an amenable number.

10824961949 is a deficient number, since it is larger than the sum of its proper divisors (1).

10824961949 is an equidigital number, since it uses as much as digits as its factorization.

10824961949 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 53.

The spelling of 10824961949 in words is "ten billion, eight hundred twenty-four million, nine hundred sixty-one thousand, nine hundred forty-nine".