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834755485888 = 26733894211091
BaseRepresentation
bin11000010010110110100…
…11011110000011000000
32221210122112201100121201
430021123103132003000
5102134034401022023
61435251551030544
7114211006362142
oct14113323360300
92853575640551
10834755485888
112a2021789755
12115945b0b454
136094262b93c
142c58c1c2c92
1516aa9673bad
hexc25b4de0c0

834755485888 has 112 divisors (see below), whose sum is σ = 1689021341280. Its totient is φ = 409251225600.

The previous prime is 834755485867. The next prime is 834755485903. The reversal of 834755485888 is 888584557438.

It is a super-2 number, since 2×8347554858882 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a self number, because there is not a number n which added to its sum of digits gives 834755485888.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765128223 + ... + 765129313.

It is an arithmetic number, because the mean of its divisors is an integer number (15080547690).

Almost surely, 2834755485888 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 834755485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844510670640).

834755485888 is an abundant number, since it is smaller than the sum of its proper divisors (854265855392).

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

834755485888 is a wasteful number, since it uses less digits than its factorization.

834755485888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1976 counting only the distinct ones).

The product of its digits is 1376256000, while the sum is 73.

The spelling of 834755485888 in words is "eight hundred thirty-four billion, seven hundred fifty-five million, four hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 73 146 292 389 421 584 778 842 1091 1168 1556 1684 2182 2336 3112 3368 4364 4672 6224 6736 8728 12448 13472 17456 24896 26944 28397 30733 34912 56794 61466 69824 79643 113588 122932 159286 163769 227176 245864 318572 327538 424399 454352 459311 491728 637144 655076 848798 908704 918622 983456 1274288 1310152 1697596 1817408 1837244 1966912 2548576 2620304 3395192 3674488 5097152 5240608 6790384 7348976 10481216 11955137 13580768 14697952 23910274 27161536 29395904 30981127 33529703 47820548 61962254 67059406 95641096 123924508 134118812 178671979 191282192 247849016 268237624 357343958 382564384 495698032 536475248 714687916 765128768 991396064 1072950496 1429375832 1982792128 2145900992 2858751664 5717503328 11435006656 13043054467 26086108934 52172217868 104344435736 208688871472 417377742944 834755485888