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93338193169 = 1327123312
BaseRepresentation
bin101011011101101100…
…0111100110100010001
322220220220021111021101
41112323120330310101
53012124034140134
6110513505224401
76513002360104
oct1267330746421
9286826244241
1093338193169
1136647a82021
121610a932101
138a565b7900
1447363ba73b
152664475e14
hex15bb63cd11

93338193169 has 27 divisors (see below), whose sum is σ = 102824572347. Its totient is φ = 84688203600.

The previous prime is 93338193149. The next prime is 93338193197. The reversal of 93338193169 is 96139183339.

The square root of 93338193169 is 305513.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13807425025 + 79530768144 = 117505^2 + 282012^2 .

It is not a de Polignac number, because 93338193169 - 27 = 93338193041 is a prime.

It is a super-2 number, since 2×933381931692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93338193119) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 281988334 + ... + 281988664.

Almost surely, 293338193169 is an apocalyptic number.

93338193169 is the 305513-rd square number.

93338193169 is the 152757-th centered octagonal number.

It is an amenable number.

93338193169 is a deficient number, since it is larger than the sum of its proper divisors (9486379178).

93338193169 is an frugal number, since it uses more digits than its factorization.

93338193169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 415 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 55.

The spelling of 93338193169 in words is "ninety-three billion, three hundred thirty-eight million, one hundred ninety-three thousand, one hundred sixty-nine".

Divisors: 1 13 71 169 331 923 4303 5041 11999 23501 55939 65533 109561 305513 851929 1424293 1668571 3971669 7778831 18515809 21691423 101124803 281988499 552297001 1314622439 7179861013 93338193169