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21178256856 = 23331531274229
BaseRepresentation
bin10011101110010100…
…101000110111011000
32000122221121220210120
4103232110220313120
5321333113204411
613421255313240
71346550133041
oct235624506730
960587556716
1021178256856
118a88634919
12413067b820
131cc6828443
14104c9958c8
1583e40e106
hex4ee528dd8

21178256856 has 128 divisors (see below), whose sum is σ = 56136499200. Its totient is φ = 6648445440.

The previous prime is 21178256849. The next prime is 21178256867. The reversal of 21178256856 is 65865287112.

It is a super-2 number, since 2×211782568562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21178256799 and 21178256808.

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, 5005750 + ... + 5009978.

It is an arithmetic number, because the mean of its divisors is an integer number (438566400).

Almost surely, 221178256856 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 21178256856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28068249600).

21178256856 is an abundant number, since it is smaller than the sum of its proper divisors (34958242344).

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

21178256856 is a wasteful number, since it uses less digits than its factorization.

21178256856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4445 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The spelling of 21178256856 in words is "twenty-one billion, one hundred seventy-eight million, two hundred fifty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 127 159 186 212 248 254 318 372 381 424 508 636 744 762 1016 1272 1524 1643 3048 3286 3937 4229 4929 6572 6731 7874 8458 9858 11811 12687 13144 13462 15748 16916 19716 20193 23622 25374 26924 31496 33832 39432 40386 47244 50748 53848 80772 94488 101496 131099 161544 208661 224137 262198 393297 417322 448274 524396 537083 625983 672411 786594 834644 896548 1048792 1074166 1251966 1344822 1573188 1611249 1669288 1793096 2148332 2503932 2689644 3146376 3222498 4296664 5007864 5379288 6444996 6948247 12889992 13896494 16649573 20844741 27792988 28465399 33299146 41689482 49948719 55585976 56930798 66598292 83378964 85396197 99897438 113861596 133196584 166757928 170792394 199794876 227723192 341584788 399589752 683169576 882427369 1764854738 2647282107 3529709476 5294564214 7059418952 10589128428 21178256856