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1146008993 is a prime number
BaseRepresentation
bin100010001001110…
…1011010110100001
32221212102021210112
41010103223112201
54321334241433
6305414541105
740253626043
oct10423532641
92855367715
101146008993
1153898a578
1227b967795
1315356c63c
14ac2b7a93
156a923348
hex444eb5a1

1146008993 has 2 divisors, whose sum is σ = 1146008994. Its totient is φ = 1146008992.

The previous prime is 1146008951. The next prime is 1146009001. The reversal of 1146008993 is 3998006411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1104432289 + 41576704 = 33233^2 + 6448^2 .

It is a cyclic number.

It is not a de Polignac number, because 1146008993 - 214 = 1145992609 is a prime.

It is a super-2 number, since 2×11460089932 = 2626673224073748098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1146008993.

It is not a weakly prime, because it can be changed into another prime (1146008933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 573004496 + 573004497.

It is an arithmetic number, because the mean of its divisors is an integer number (573004497).

Almost surely, 21146008993 is an apocalyptic number.

It is an amenable number.

1146008993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1146008993 is an equidigital number, since it uses as much as digits as its factorization.

1146008993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 1146008993 is about 33852.7545851146. The cubic root of 1146008993 is about 1046.4761668775.

The spelling of 1146008993 in words is "one billion, one hundred forty-six million, eight thousand, nine hundred ninety-three".