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21520371620 = 22511296075557
BaseRepresentation
bin10100000010101101…
…101100111110100100
32001112210101011000202
4110002231230332210
5323033203342440
613515240130032
71361203066136
oct240255547644
961483334022
1021520371620
1191437637a0
124207166918
13204c680507
1410821ad056
1585e48b615
hex502b6cfa4

21520371620 has 96 divisors (see below), whose sum is σ = 51094471680. Its totient is φ = 7541936640.

The previous prime is 21520371601. The next prime is 21520371643. The reversal of 21520371620 is 2617302512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3869882 + ... + 3875438.

It is an arithmetic number, because the mean of its divisors is an integer number (532234080).

Almost surely, 221520371620 is an apocalyptic number.

21520371620 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 21520371620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25547235840).

21520371620 is an abundant number, since it is smaller than the sum of its proper divisors (29574100060).

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

21520371620 is a wasteful number, since it uses less digits than its factorization.

21520371620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6213 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 21520371620 in words is "twenty-one billion, five hundred twenty million, three hundred seventy-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 607 638 1214 1276 1595 2428 3035 3190 5557 6070 6380 6677 11114 12140 13354 17603 22228 26708 27785 33385 35206 55570 61127 66770 70412 88015 111140 122254 133540 161153 176030 193633 244508 305635 322306 352060 387266 611270 644612 774532 805765 968165 1222540 1611530 1772683 1936330 3223060 3373099 3545366 3872660 6746198 7090732 8863415 13492396 16865495 17726830 33730990 35453660 37104089 67461980 74208178 97819871 148416356 185520445 195639742 371040890 391279484 489099355 742081780 978198710 1076018581 1956397420 2152037162 4304074324 5380092905 10760185810 21520371620