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21850189520 = 2452323395077
BaseRepresentation
bin10100010110010111…
…110110111011010000
32002101202222122010112
4110112113312323100
5324222122031040
614012101220452
71402316355305
oct242627667320
962352878115
1021850189520
1192a2953875
124299701728
1320a2abb433
1410b3d050ac
1587d3da365
hex5165f6ed0

21850189520 has 80 divisors (see below), whose sum is σ = 53043569280. Its totient is φ = 8354852352.

The previous prime is 21850189511. The next prime is 21850189523. The reversal of 21850189520 is 2598105812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21850189523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4301222 + ... + 4306298.

It is an arithmetic number, because the mean of its divisors is an integer number (663044616).

Almost surely, 221850189520 is an apocalyptic number.

21850189520 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 21850189520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26521784640).

21850189520 is an abundant number, since it is smaller than the sum of its proper divisors (31193379760).

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

21850189520 is a wasteful number, since it uses less digits than its factorization.

21850189520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 7446 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 41.

The spelling of 21850189520 in words is "twenty-one billion, eight hundred fifty million, one hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2339 4678 5077 9356 10154 11695 18712 20308 23390 25385 37424 40616 46780 50770 53797 81232 93560 101540 107594 116771 187120 203080 215188 233542 268985 406160 430376 467084 537970 583855 860752 934168 1075940 1167710 1868336 2151880 2335420 4303760 4670840 9341680 11875103 23750206 47500412 59375515 95000824 118751030 190001648 237502060 273127369 475004120 546254738 950008240 1092509476 1365636845 2185018952 2731273690 4370037904 5462547380 10925094760 21850189520