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21286722288 = 24313161321149
BaseRepresentation
bin10011110100110010…
…011001101011110000
32000221111201112101210
4103310302121223300
5322043400103123
613440132200120
71352335103556
oct236462315360
960844645353
1021286722288
119033888577
124160a69040
132013144180
14105d14bbd6
15848bd6e93
hex4f4c99af0

21286722288 has 80 divisors (see below), whose sum is σ = 59260269600. Its totient is φ = 6545390592.

The previous prime is 21286722283. The next prime is 21286722319. The reversal of 21286722288 is 88222768212.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21286722283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995938 + ... + 1017086.

It is an arithmetic number, because the mean of its divisors is an integer number (740753370).

Almost surely, 221286722288 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 21286722288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29630134800).

21286722288 is an abundant number, since it is smaller than the sum of its proper divisors (37973547312).

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

21286722288 is a wasteful number, since it uses less digits than its factorization.

21286722288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22786 (or 22780 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The spelling of 21286722288 in words is "twenty-one billion, two hundred eighty-six million, seven hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1613 3226 4839 6452 9678 12904 19356 20969 21149 25808 38712 41938 42298 62907 63447 77424 83876 84596 125814 126894 167752 169192 251628 253788 274937 335504 338384 503256 507576 549874 824811 1006512 1015152 1099748 1649622 2199496 3299244 4398992 6598488 13196976 34113337 68226674 102340011 136453348 204680022 272906696 409360044 443473381 545813392 818720088 886946762 1330420143 1637440176 1773893524 2660840286 3547787048 5321680572 7095574096 10643361144 21286722288