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93314416193 is a prime number
BaseRepresentation
bin101011011100111111…
…0001111111001000001
322220212020112111101122
41112321332033321001
53012101442304233
6110511255442025
76512263310345
oct1267176177101
9286766474348
1093314416193
1136635612029
1216102986315
138a516b12ab
14473318b625
15266232ad98
hex15b9f8fe41

93314416193 has 2 divisors, whose sum is σ = 93314416194. Its totient is φ = 93314416192.

The previous prime is 93314416177. The next prime is 93314416207. The reversal of 93314416193 is 39161441339.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81254642704 + 12059773489 = 285052^2 + 109817^2 .

It is an emirp because it is prime and its reverse (39161441339) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93314416193 - 24 = 93314416177 is a prime.

It is a super-2 number, since 2×933144161932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (93314416693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46657208096 + 46657208097.

It is an arithmetic number, because the mean of its divisors is an integer number (46657208097).

Almost surely, 293314416193 is an apocalyptic number.

It is an amenable number.

93314416193 is a deficient number, since it is larger than the sum of its proper divisors (1).

93314416193 is an equidigital number, since it uses as much as digits as its factorization.

93314416193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 209952, while the sum is 44.

The spelling of 93314416193 in words is "ninety-three billion, three hundred fourteen million, four hundred sixteen thousand, one hundred ninety-three".