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21288856056 = 23313373076007
BaseRepresentation
bin10011110100111010…
…100010100111111000
32000221122201221101020
4103310322202213320
5322044421343211
613440250022440
71352362201506
oct236472424770
960848657336
1021288856056
119035005716
124161717a20
132013710460
14105d545676
15848ea9306
hex4f4ea29f8

21288856056 has 128 divisors (see below), whose sum is σ = 59066810880. Its totient is φ = 6351561216.

The previous prime is 21288856049. The next prime is 21288856081. The reversal of 21288856056 is 65065888212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3541005 + ... + 3547011.

It is an arithmetic number, because the mean of its divisors is an integer number (461459460).

Almost surely, 221288856056 is an apocalyptic number.

21288856056 is a gapful number since it is divisible by the number (26) 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 21288856056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29533405440).

21288856056 is an abundant number, since it is smaller than the sum of its proper divisors (37777954824).

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

21288856056 is a wasteful number, since it uses less digits than its factorization.

21288856056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 21288856056 in words is "twenty-one billion, two hundred eighty-eight million, eight hundred fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 307 312 444 481 614 888 921 962 1228 1443 1842 1924 2456 2886 3684 3848 3991 5772 6007 7368 7982 11359 11544 11973 12014 15964 18021 22718 23946 24028 31928 34077 36042 45436 47892 48056 68154 72084 78091 90872 95784 136308 144168 147667 156182 222259 234273 272616 295334 312364 443001 444518 468546 590668 624728 666777 886002 889036 937092 1181336 1333554 1772004 1778072 1844149 1874184 2667108 2889367 3544008 3688298 5334216 5532447 5778734 7376596 8668101 11064894 11557468 14753192 17336202 22129788 23114936 23973937 34672404 44259576 47947874 68233513 69344808 71921811 95895748 136467026 143843622 191791496 204700539 272934052 287687244 409401078 545868104 575374488 818802156 887035669 1637604312 1774071338 2661107007 3548142676 5322214014 7096285352 10644428028 21288856056