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21559051520 = 28525765537
BaseRepresentation
bin10100000101000001…
…010000010100000000
32001122111011021212122
4110011001100110000
5323123104122040
613523141143412
71362152625416
oct240501202400
961574137778
1021559051520
119163582556
1242180bab68
1320576a4226
14108739b2b6
15862a7c1b5
hex505050500

21559051520 has 72 divisors (see below), whose sum is σ = 51842393064. Its totient is φ = 8589934592.

The previous prime is 21559051487. The next prime is 21559051561. The reversal of 21559051520 is 2515095512.

It can be written as a sum of positive squares in 4 ways, for example, as 16049849344 + 5509202176 = 126688^2 + 74224^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 21559051520 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296192 + ... + 361728.

It is an arithmetic number, because the mean of its divisors is an integer number (720033237).

Almost surely, 221559051520 is an apocalyptic number.

21559051520 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 21559051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25921196532).

21559051520 is an abundant number, since it is smaller than the sum of its proper divisors (30283341544).

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

21559051520 is an equidigital number, since it uses as much as digits as its factorization.

21559051520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65815 (or 65801 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 21559051520 in words is "twenty-one billion, five hundred fifty-nine million, fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 257 320 514 640 1028 1280 1285 2056 2570 4112 5140 8224 10280 16448 20560 32896 41120 65537 65792 82240 131074 164480 262148 327685 328960 524296 655370 1048592 1310740 2097184 2621480 4194368 5242960 8388736 10485920 16777472 16843009 20971840 33686018 41943680 67372036 83887360 84215045 134744072 168430090 269488144 336860180 538976288 673720360 1077952576 1347440720 2155905152 2694881440 4311810304 5389762880 10779525760 21559051520