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96829667993 is a prime number
BaseRepresentation
bin101101000101101111…
…1110111101010011001
3100020221020002210022202
41122023133313222121
53041301343333433
6112252151455545
76665346412022
oct1321337675231
9306836083282
1096829667993
1138079906803
12169240875b5
139191a5aa46
144987d99c49
1527bac4bee8
hex168b7f7a99

96829667993 has 2 divisors, whose sum is σ = 96829667994. Its totient is φ = 96829667992.

The previous prime is 96829667881. The next prime is 96829668017. The reversal of 96829667993 is 39976692869.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76793831689 + 20035836304 = 277117^2 + 141548^2 .

It is a cyclic number.

It is not a de Polignac number, because 96829667993 - 230 = 95755926169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 96829667993.

It is not a weakly prime, because it can be changed into another prime (96829667393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48414833996 + 48414833997.

It is an arithmetic number, because the mean of its divisors is an integer number (48414833997).

Almost surely, 296829667993 is an apocalyptic number.

It is an amenable number.

96829667993 is a deficient number, since it is larger than the sum of its proper divisors (1).

96829667993 is an equidigital number, since it uses as much as digits as its factorization.

96829667993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 476171136, while the sum is 74.

The spelling of 96829667993 in words is "ninety-six billion, eight hundred twenty-nine million, six hundred sixty-seven thousand, nine hundred ninety-three".