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29933145017 is a prime number
BaseRepresentation
bin11011111000001001…
…111000101110111001
32212021002111022120122
4123320021320232321
5442300341120032
621430123103025
72106525351236
oct337011705671
985232438518
1029933145017
1111770530986
125974671a75
132a90587c39
14163d60478d
15ba2d20012
hex6f8278bb9

29933145017 has 2 divisors, whose sum is σ = 29933145018. Its totient is φ = 29933145016.

The previous prime is 29933144957. The next prime is 29933145037. The reversal of 29933145017 is 71054133992.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26242704016 + 3690441001 = 161996^2 + 60749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29933145017 is a prime.

It is not a weakly prime, because it can be changed into another prime (29933145037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14966572508 + 14966572509.

It is an arithmetic number, because the mean of its divisors is an integer number (14966572509).

Almost surely, 229933145017 is an apocalyptic number.

It is an amenable number.

29933145017 is a deficient number, since it is larger than the sum of its proper divisors (1).

29933145017 is an equidigital number, since it uses as much as digits as its factorization.

29933145017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 204120, while the sum is 44.

The spelling of 29933145017 in words is "twenty-nine billion, nine hundred thirty-three million, one hundred forty-five thousand, seventeen".