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10628000833 is a prime number
BaseRepresentation
bin10011110010111101…
…00110110001000001
31000102200110101022111
421321132212301001
5133231232011313
64514334535321
7524241342112
oct117136466101
930380411274
1010628000833
11456425836a
122087367541
131004b3b0b8
1472b718209
154230ac43d
hex2797a6c41

10628000833 has 2 divisors, whose sum is σ = 10628000834. Its totient is φ = 10628000832.

The previous prime is 10628000809. The next prime is 10628000927. The reversal of 10628000833 is 33800082601.

10628000833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8221411584 + 2406589249 = 90672^2 + 49057^2 .

It is a cyclic number.

It is not a de Polignac number, because 10628000833 - 221 = 10625903681 is a prime.

It is a super-2 number, since 2×106280008332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10628000795 and 10628000804.

It is not a weakly prime, because it can be changed into another prime (10628000633) 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, 5314000416 + 5314000417.

It is an arithmetic number, because the mean of its divisors is an integer number (5314000417).

Almost surely, 210628000833 is an apocalyptic number.

It is an amenable number.

10628000833 is a deficient number, since it is larger than the sum of its proper divisors (1).

10628000833 is an equidigital number, since it uses as much as digits as its factorization.

10628000833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 10628000833 in words is "ten billion, six hundred twenty-eight million, eight hundred thirty-three", and thus it is an aban number.