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21620065680 = 2432544367783
BaseRepresentation
bin10100001000101010…
…000000010110010000
32001210201222010120100
4110020222000112100
5323234214100210
613533201012400
71363523345313
oct241052002620
961721863510
1021620065680
119194a66384
124234624100
132067217995
14109152097a
158680d05c0
hex508a80590

21620065680 has 120 divisors (see below), whose sum is σ = 72772360128. Its totient is φ = 5752251648.

The previous prime is 21620065661. The next prime is 21620065681. The reversal of 21620065680 is 8656002612.

21620065680 is a `hidden beast` number, since 21 + 620 + 0 + 6 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21620065681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285069 + ... + 352851.

Almost surely, 221620065680 is an apocalyptic number.

21620065680 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 21620065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386180064).

21620065680 is an abundant number, since it is smaller than the sum of its proper divisors (51152294448).

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

21620065680 is a wasteful number, since it uses less digits than its factorization.

21620065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68245 (or 68236 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21620065680 in words is "twenty-one billion, six hundred twenty million, sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 443 720 886 1329 1772 2215 2658 3544 3987 4430 5316 6645 7088 7974 8860 10632 13290 15948 17720 19935 21264 26580 31896 35440 39870 53160 63792 67783 79740 106320 135566 159480 203349 271132 318960 338915 406698 542264 610047 677830 813396 1016745 1084528 1220094 1355660 1626792 2033490 2440188 2711320 3050235 3253584 4066980 4880376 5422640 6100470 8133960 9760752 12200940 16267920 24401880 30027869 48803760 60055738 90083607 120111476 150139345 180167214 240222952 270250821 300278690 360334428 450418035 480445904 540501642 600557380 720668856 900836070 1081003284 1201114760 1351254105 1441337712 1801672140 2162006568 2402229520 2702508210 3603344280 4324013136 5405016420 7206688560 10810032840 21620065680