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216073217077696 = 26113833779212057
BaseRepresentation
bin110001001000010001110111…
…010110010111000111000000
31001100001101202000020210010101
4301020101313112113013000
5211310120422032441241
62043314355433412144
763340526514251236
oct6110216726270700
91040041660223111
10216073217077696
1162936156028990
122029852b26a054
13937480355c5b4
143b4dddc90a956
1519ea860bede31
hexc484775971c0

216073217077696 has 112 divisors (see below), whose sum is σ = 469096996515840. Its totient is φ = 97932278712320.

The previous prime is 216073217077661. The next prime is 216073217077747. The reversal of 216073217077696 is 696770712370612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018833300 + ... + 1019045356.

It is an arithmetic number, because the mean of its divisors is an integer number (4188366040320).

Almost surely, 2216073217077696 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 216073217077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234548498257920).

216073217077696 is an abundant number, since it is smaller than the sum of its proper divisors (253023779438144).

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

216073217077696 is a wasteful number, since it uses less digits than its factorization.

216073217077696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216242 (or 216232 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 64.

The spelling of 216073217077696 in words is "two hundred sixteen trillion, seventy-three billion, two hundred seventeen million, seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 383 704 766 1532 3064 3779 4213 6128 7558 8426 12256 15116 16852 24512 30232 33704 41569 60464 67408 83138 120928 134816 166276 212057 241856 269632 332552 424114 665104 848228 1330208 1447357 1696456 2332627 2660416 2894714 3392912 4665254 5789428 6785824 9330508 11578856 13571648 15920927 18661016 23157712 31841854 37322032 46315424 63683708 74644064 81217831 92630848 127367416 149288128 162435662 254734832 324871324 509469664 649742648 801363403 893396141 1018939328 1299485296 1602726806 1786792282 2598970592 3205453612 3573584564 5197941184 6410907224 7147169128 8814997433 12821814448 14294338256 17629994866 25643628896 28588676512 35259989732 51287257792 57177353024 70519979464 141039958928 282079917856 306922183349 564159835712 613844366698 1227688733396 2455377466792 3376144016839 4910754933584 6752288033678 9821509867168 13504576067356 19643019734336 27009152134712 54018304269424 108036608538848 216073217077696