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910208097992 = 231924124332
BaseRepresentation
bin11010011111011001010…
…00010101111011001000
310020000101222010012010202
431033230220111323020
5104403101233113432
61534051022231332
7122521543115114
oct15175450257310
93200358105122
10910208097992
11321020818a16
121284a2a25548
1367aa860778b
14320a9038744
1518a237e3462
hexd3eca15ec8

910208097992 has 108 divisors (see below), whose sum is σ = 1850467445235. Its totient is φ = 419663877120.

The previous prime is 910208097989. The next prime is 910208098003. The reversal of 910208097992 is 299790802019.

It is a happy number.

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 5 ways, for example, as 44366681956 + 865841416036 = 210634^2 + 930506^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=674614.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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, 2102097008 + ... + 2102097440.

Almost surely, 2910208097992 is an apocalyptic number.

It is an amenable number.

910208097992 is an abundant number, since it is smaller than the sum of its proper divisors (940259347243).

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

910208097992 is an equidigital number, since it uses as much as digits as its factorization.

910208097992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 56.

The spelling of 910208097992 in words is "nine hundred ten billion, two hundred eight million, ninety-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 19 38 41 76 82 152 164 328 361 433 722 779 866 1444 1558 1681 1732 2888 3116 3362 3464 6232 6724 8227 13448 14801 16454 17753 29602 31939 32908 35506 59204 63878 65816 71012 118408 127756 142024 156313 187489 255512 312626 337307 374978 606841 625252 674614 727873 749956 1213682 1250504 1349228 1455746 1499912 2427364 2698456 2911492 3562291 4854728 5822984 6408833 7124582 7687049 12817666 13829587 14249164 15374098 25635332 27659174 28498328 30748196 51270664 55318348 61496392 67683529 110636696 135367058 146053931 262762153 270734116 292107862 315169009 525524306 541468232 584215724 630338018 1051048612 1168431448 1260676036 2102097224 2521352072 2775024689 5550049378 5988211171 11100098756 11976422342 22200197512 23952844684 47905689368 113776012249 227552024498 455104048996 910208097992