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3897920649168 = 2432713297460367
BaseRepresentation
bin111000101110001110001…
…011001111011111010000
3111210122012210101101120200
4320232032023033133100
51002330420141233133
612142402515135200
7551421051562230
oct70561613173720
914718183341520
103897920649168
11127310a651507
1252b5398a4500
1322375957abb0
14d6936089cc0
156b5d9436913
hex38b8e2cf7d0

3897920649168 has 120 divisors (see below), whose sum is σ = 13426171170048. Its totient is φ = 1028023024896.

The previous prime is 3897920649137. The next prime is 3897920649187. The reversal of 3897920649168 is 8619460297983.

3897920649168 is a `hidden beast` number, since 3 + 8 + 9 + 79 + 2 + 0 + 6 + 491 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3897920649096 and 3897920649105.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 148717080 + ... + 148743287.

Almost surely, 23897920649168 is an apocalyptic number.

It is an amenable number.

3897920649168 is an abundant number, since it is smaller than the sum of its proper divisors (9528250520880).

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

3897920649168 is a wasteful number, since it uses less digits than its factorization.

3897920649168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297460401 (or 297460392 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 3897920649168 in words is "three trillion, eight hundred ninety-seven billion, nine hundred twenty million, six hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 297460367 594920734 892381101 1189841468 1784762202 2082222569 2379682936 2677143303 3569524404 3866984771 4164445138 4759365872 5354286606 6246667707 7139048808 7733969542 8328890276 10708573212 11600954313 12493335414 14278097616 15467939084 16657780552 18740003121 21417146424 23201908626 24986670828 27068893397 30935878168 33315561104 34802862939 37480006242 42834292848 46403817252 49973341656 54137786794 61871756336 69605725878 74960012484 81206680191 92807634504 99946683312 108275573588 139211451756 149920024968 162413360382 185615269008 216551147176 243620040573 278422903512 299840049936 324826720764 433102294352 487240081146 556845807024 649653441528 974480162292 1299306883056 1948960324584 3897920649168