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839164461940 = 225747971314769
BaseRepresentation
bin11000011011000100001…
…10011000001101110100
32222020000210222112202001
430031202012120031310
5102222102100240230
61441301250425044
7114425164143550
oct14154206301564
92866023875661
10839164461940
112a3984509712
12116776592184
1361195bb53cc
142c889996860
1516c667820ca
hexc362198374

839164461940 has 96 divisors (see below), whose sum is σ = 2078051834880. Its totient is φ = 278688743424.

The previous prime is 839164461923. The next prime is 839164461973. The reversal of 839164461940 is 49164461938.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 19125 + ... + 1295644.

It is an arithmetic number, because the mean of its divisors is an integer number (21646373280).

Almost surely, 2839164461940 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 839164461940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039025917440).

839164461940 is an abundant number, since it is smaller than the sum of its proper divisors (1238887372940).

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

839164461940 is a wasteful number, since it uses less digits than its factorization.

839164461940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314929 (or 1314927 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 839164461940 in words is "eight hundred thirty-nine billion, one hundred sixty-four million, four hundred sixty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 97 140 188 194 235 329 388 470 485 658 679 940 970 1316 1358 1645 1940 2716 3290 3395 4559 6580 6790 9118 13580 18236 22795 31913 45590 63826 91180 127652 159565 319130 638260 1314769 2629538 5259076 6573845 9203383 13147690 18406766 26295380 36813532 46016915 61794143 92033830 123588286 127532593 184067660 247176572 255065186 308970715 432559001 510130372 617941430 637662965 865118002 892728151 1235882860 1275325930 1730236004 1785456302 2162795005 2550651860 3570912604 4325590010 4463640755 5994031871 8651180020 8927281510 11988063742 17854563020 23976127484 29970159355 41958223097 59940318710 83916446194 119880637420 167832892388 209791115485 419582230970 839164461940