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97309308168 = 23329723792
BaseRepresentation
bin101101010100000010…
…1100011010100001000
3100022011122122000221200
41122220011203110020
53043242140330133
6112411524104200
710013262320622
oct1325005432410
9308148560850
1097309308168
11382a5627546
1216a38835060
13923a2349b7
1449d1971c12
1527e7de2913
hex16a8163508

97309308168 has 108 divisors (see below), whose sum is σ = 266995491165. Its totient is φ = 32017337856.

The previous prime is 97309308139. The next prime is 97309308259. The reversal of 97309308168 is 86180390379.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 97055925444 + 253382724 = 311538^2 + 15918^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=220578.

It is a super-2 number, since 2×973093081682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256752603 + ... + 256752981.

Almost surely, 297309308168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97309308168

97309308168 is an abundant number, since it is smaller than the sum of its proper divisors (169686182997).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97309308168 is an equidigital number, since it uses as much as digits as its factorization.

97309308168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 97309308168 in words is "ninety-seven billion, three hundred nine million, three hundred eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 379 388 582 758 776 873 1137 1164 1516 1746 2274 2328 3032 3411 3492 4548 6822 6984 9096 9409 13644 18818 27288 28227 36763 37636 56454 73526 75272 84681 110289 112908 143641 147052 169362 220578 225816 287282 294104 330867 338724 430923 441156 574564 661734 677448 861846 882312 1149128 1292769 1323468 1723692 2585538 2646936 3447384 3566011 5171076 7132022 10342152 10698033 13933177 14264044 21396066 27866354 28528088 32094099 41799531 42792132 55732708 64188198 83599062 85584264 111465416 125398593 128376396 167198124 250797186 256752792 334396248 501594372 1003188744 1351518169 2703036338 4054554507 5406072676 8109109014 10812145352 12163663521 16218218028 24327327042 32436436056 48654654084 97309308168