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2906320993 is a prime number
BaseRepresentation
bin1010110100111010…
…1111000001100001
321111112202101220021
42231032233001201
521423004232433
61200220313441
7132010215022
oct25516570141
97445671807
102906320993
1112615a6a84
126913a2881
13374174b84
141d7dbcc49
1512023c22d
hexad3af061

2906320993 has 2 divisors, whose sum is σ = 2906320994. Its totient is φ = 2906320992.

The previous prime is 2906320987. The next prime is 2906321017. The reversal of 2906320993 is 3990236092.

2906320993 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., 1488647889 + 1417673104 = 38583^2 + 37652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2906320993 is a prime.

It is a super-3 number, since 3×29063209933 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2906320903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1453160496 + 1453160497.

It is an arithmetic number, because the mean of its divisors is an integer number (1453160497).

Almost surely, 22906320993 is an apocalyptic number.

It is an amenable number.

2906320993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2906320993 is an equidigital number, since it uses as much as digits as its factorization.

2906320993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 157464, while the sum is 43.

The square root of 2906320993 is about 53910.3050724071. The cubic root of 2906320993 is about 1427.0784882382.

The spelling of 2906320993 in words is "two billion, nine hundred six million, three hundred twenty thousand, nine hundred ninety-three".