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208791375420 = 223583397105607
BaseRepresentation
bin1100001001110011101…
…1111000111000111100
3201221221000210211101110
43002130323320320330
511410101043003140
6235530055442020
721041021260065
oct3023473707074
9657830724343
10208791375420
1180603319721
123456b986310
13168c57b5674
14a16990b56c
155670191380
hex309cef8e3c

208791375420 has 96 divisors (see below), whose sum is σ = 593155358208. Its totient is φ = 54867808512.

The previous prime is 208791375407. The next prime is 208791375433. The reversal of 208791375420 is 24573197802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (208791375407) and next prime (208791375433).

It is a self number, because there is not a number n which added to its sum of digits gives 208791375420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924257 + ... + 2029863.

It is an arithmetic number, because the mean of its divisors is an integer number (6178701648).

Almost surely, 2208791375420 is an apocalyptic number.

208791375420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208791375420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296577679104).

208791375420 is an abundant number, since it is smaller than the sum of its proper divisors (384363982788).

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

208791375420 is a wasteful number, since it uses less digits than its factorization.

208791375420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106099 (or 106097 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 208791375420 in words is "two hundred eight billion, seven hundred ninety-one million, three hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 397 415 498 794 830 996 1191 1245 1588 1660 1985 2382 2490 3970 4764 4980 5955 7940 11910 23820 32951 65902 98853 105607 131804 164755 197706 211214 316821 329510 395412 422428 494265 528035 633642 659020 988530 1056070 1267284 1584105 1977060 2112140 3168210 6336420 8765381 17530762 26296143 35061524 41925979 43826905 52592286 83851958 87653810 105184572 125777937 131480715 167703916 175307620 209629895 251555874 262961430 419259790 503111748 525922860 628889685 838519580 1257779370 2515558740 3479856257 6959712514 10439568771 13919425028 17399281285 20879137542 34798562570 41758275084 52197843855 69597125140 104395687710 208791375420