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21541436224 = 2671119722189
BaseRepresentation
bin10100000011111110…
…000011101101000000
32001121021000100020021
4110003332003231000
5323104101424344
613521311423224
71361550121030
oct240376035500
961537010207
1021541436224
119154640960
124212224b14
132053b47389
141084cd38c0
1586124cb84
hex503f83b40

21541436224 has 112 divisors (see below), whose sum is σ = 53567015040. Its totient is φ = 8349788160.

The previous prime is 21541436221. The next prime is 21541436233. The reversal of 21541436224 is 42263414512.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 21541436224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21541436221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959722 + ... + 981910.

It is an arithmetic number, because the mean of its divisors is an integer number (478276920).

Almost surely, 221541436224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21541436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26783507520).

21541436224 is an abundant number, since it is smaller than the sum of its proper divisors (32025578816).

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

21541436224 is a wasteful number, since it uses less digits than its factorization.

21541436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22416 (or 22406 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The spelling of 21541436224 in words is "twenty-one billion, five hundred forty-one million, four hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 197 224 308 352 394 448 616 704 788 1232 1379 1576 2167 2464 2758 3152 4334 4928 5516 6304 8668 11032 12608 15169 17336 22064 22189 30338 34672 44128 44378 60676 69344 88256 88756 121352 138688 155323 177512 242704 244079 310646 355024 485408 488158 621292 710048 970816 976316 1242584 1420096 1708553 1952632 2485168 3417106 3905264 4371233 4970336 6834212 7810528 8742466 9940672 13668424 15621056 17484932 27336848 30598631 34969864 48083563 54673696 61197262 69939728 96167126 109347392 122394524 139879456 192334252 244789048 279758912 336584941 384668504 489578096 673169882 769337008 979156192 1346339764 1538674016 1958312384 2692679528 3077348032 5385359056 10770718112 21541436224