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21305064360 = 23351734730097
BaseRepresentation
bin10011110101111000…
…010111101110101000
32000222210020101222210
4103311320113232220
5322113044024420
613442025245120
71352650026156
oct236570275650
960883211883
1021305064360
119043176208
1241670337a0
132016b96a78
1410617643d6
1584a60b9e0
hex4f5e17ba8

21305064360 has 128 divisors (see below), whose sum is σ = 67872193920. Its totient is φ = 5331566592.

The previous prime is 21305064337. The next prime is 21305064413. The reversal of 21305064360 is 6346050312.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 692832 + ... + 722928.

It is an arithmetic number, because the mean of its divisors is an integer number (530251515).

Almost surely, 221305064360 is an apocalyptic number.

21305064360 is a gapful number since it is divisible by the number (20) 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 21305064360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33936096960).

21305064360 is an abundant number, since it is smaller than the sum of its proper divisors (46567129560).

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

21305064360 is a wasteful number, since it uses less digits than its factorization.

21305064360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30475 (or 30471 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 21305064360 in words is "twenty-one billion, three hundred five million, sixty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 347 408 510 680 694 1020 1041 1388 1735 2040 2082 2776 3470 4164 5205 5899 6940 8328 10410 11798 13880 17697 20820 23596 29495 30097 35394 41640 47192 58990 60194 70788 88485 90291 117980 120388 141576 150485 176970 180582 235960 240776 300970 353940 361164 451455 511649 601940 707880 722328 902910 1023298 1203880 1534947 1805820 2046596 2558245 3069894 3611640 4093192 5116490 6139788 7674735 10232980 10443659 12279576 15349470 20465960 20887318 30698940 31330977 41774636 52218295 61397880 62661954 83549272 104436590 125323908 156654885 177542203 208873180 250647816 313309770 355084406 417746360 532626609 626619540 710168812 887711015 1065253218 1253239080 1420337624 1775422030 2130506436 2663133045 3550844060 4261012872 5326266090 7101688120 10652532180 21305064360