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21328664580 = 2233597407191
BaseRepresentation
bin10011110111010010…
…011001100000000100
32001001102122102102000
4103313102121200010
5322140114231310
613444231145300
71353354441366
oct236722314004
961042572360
1021328664580
119055525423
124172b15230
13201ba3aab2
141064948d36
1584c71e4c0
hex4f7499804

21328664580 has 96 divisors (see below), whose sum is σ = 67040090880. Its totient is φ = 5628994560.

The previous prime is 21328664569. The next prime is 21328664587. The reversal of 21328664580 is 8546682312.

21328664580 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 8 + 6 + 64 + 580 = 666.

It is a super-2 number, since 2×213286645802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21328664587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151216 + ... + 255975.

It is an arithmetic number, because the mean of its divisors is an integer number (698334280).

Almost surely, 221328664580 is an apocalyptic number.

21328664580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21328664580 is an abundant number, since it is smaller than the sum of its proper divisors (45711426300).

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

21328664580 is a wasteful number, since it uses less digits than its factorization.

21328664580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407306 (or 407298 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 21328664580 in words is "twenty-one billion, three hundred twenty-eight million, six hundred sixty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 97 108 135 180 194 270 291 388 485 540 582 873 970 1164 1455 1746 1940 2619 2910 3492 4365 5238 5820 8730 10476 13095 17460 26190 52380 407191 814382 1221573 1628764 2035955 2443146 3664719 4071910 4886292 6107865 7329438 8143820 10994157 12215730 14658876 18323595 21988314 24431460 36647190 39497527 43976628 54970785 73294380 78995054 109941570 118492581 157990108 197487635 219883140 236985162 355477743 394975270 473970324 592462905 710955486 789950540 1066433229 1184925810 1421910972 1777388715 2132866458 2369851620 3554777430 4265732916 5332166145 7109554860 10664332290 21328664580