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21866609664 = 2103587877
BaseRepresentation
bin10100010111010110…
…011111110000000000
32002102220212212100000
4110113112133300000
5324240323002124
614013445200000
71402606054404
oct242726376000
962386785300
1021866609664
119301149539
1242a3100000
1320a631a2b3
1410b617b104
1587ea806c9
hex51759fc00

21866609664 has 132 divisors (see below), whose sum is σ = 65478600824. Its totient is φ = 7288786944.

The previous prime is 21866609659. The next prime is 21866609693. The reversal of 21866609664 is 46690666812.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21866609664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204894 + ... + 292770.

Almost surely, 221866609664 is an apocalyptic number.

21866609664 is a gapful number since it is divisible by the number (24) 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 21866609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32739300412).

21866609664 is an abundant number, since it is smaller than the sum of its proper divisors (43611991160).

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

21866609664 is an frugal number, since it uses more digits than its factorization.

21866609664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87912 (or 87882 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

It can be divided in two parts, 2186660 and 9664, that added together give a square (2196324 = 14822).

The spelling of 21866609664 in words is "twenty-one billion, eight hundred sixty-six million, six hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 62208 82944 87877 124416 175754 248832 263631 351508 527262 703016 790893 1054524 1406032 1581786 2109048 2372679 2812064 3163572 4218096 4745358 5624128 6327144 7118037 8436192 9490716 11248256 12654288 14236074 16872384 18981432 21354111 22496512 25308576 28472148 33744768 37962864 42708222 44993024 50617152 56944296 67489536 75925728 85416444 89986048 101234304 113888592 134979072 151851456 170832888 202468608 227777184 269958144 303702912 341665776 404937216 455554368 607405824 683331552 809874432 911108736 1214811648 1366663104 1822217472 2429623296 2733326208 3644434944 5466652416 7288869888 10933304832 21866609664