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842390041962 = 237198323475419
BaseRepresentation
bin11000100001000100101…
…10111111010101101010
32222112100121110222200210
430100202112333111222
5102300203322320322
61442553314041550
7114601132133130
oct14204226772552
92875317428623
10842390041962
112a528a243727
121173168792b6
136158b23c141
142cab411d750
1516da4a3470c
hexc4225bf56a

842390041962 has 128 divisors (see below), whose sum is σ = 2052475084800. Its totient is φ = 225130643136.

The previous prime is 842390041901. The next prime is 842390041979. The reversal of 842390041962 is 269140093248.

842390041962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×8423900419623 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155448489 + ... + 155453907.

It is an arithmetic number, because the mean of its divisors is an integer number (16034961600).

Almost surely, 2842390041962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842390041962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026237542400).

842390041962 is an abundant number, since it is smaller than the sum of its proper divisors (1210085042838).

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

842390041962 is a wasteful number, since it uses less digits than its factorization.

842390041962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880.

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 842390041962 in words is "eight hundred forty-two billion, three hundred ninety million, forty-one thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 83 114 133 166 249 266 399 498 581 798 1162 1577 1743 2347 3154 3486 4694 4731 5419 7041 9462 10838 11039 14082 16257 16429 22078 32514 32858 33117 37933 44593 49287 66234 75866 89186 98574 102961 113799 133779 194801 205922 227598 267558 308883 312151 389602 449777 584403 617766 624302 720727 899554 936453 1168806 1349331 1363607 1441454 1872906 2162181 2698662 2727214 3148439 3701219 4090821 4324362 6296878 7402438 8181642 8545763 9445317 11103657 12718393 17091526 18890634 22207314 25436786 25637289 25908533 38155179 51274578 51817066 59820341 76310358 77725599 89028751 119640682 155451198 178057502 179461023 241649467 267086253 358922046 483298934 534172506 724948401 1055626619 1449896802 1691546269 2111253238 3166879857 3383092538 5074638807 6333759714 7389386333 10149277614 14778772666 20056905761 22168158999 40113811522 44336317998 60170717283 120341434566 140398340327 280796680654 421195020981 842390041962