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21821404734 = 2321910725573
BaseRepresentation
bin10100010100101010…
…000011011000111110
32002022202211012211100
4110110222003120332
5324142234422414
614005152233530
71401516610533
oct242452033076
962282735740
1021821404734
119288683398
12428bb3b8a6
132099b5060c
1410b0170d8a
1587ab01609
hex514a8363e

21821404734 has 72 divisors (see below), whose sum is σ = 50246600040. Its totient is φ = 6825343392.

The previous prime is 21821404681. The next prime is 21821404751. The reversal of 21821404734 is 43740412812.

21821404734 is a `hidden beast` number, since 2 + 182 + 1 + 4 + 0 + 473 + 4 = 666.

It is a super-2 number, since 2×218214047342 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3912772 + ... + 3918344.

It is an arithmetic number, because the mean of its divisors is an integer number (697869445).

Almost surely, 221821404734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21821404734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25123300020).

21821404734 is an abundant number, since it is smaller than the sum of its proper divisors (28425195306).

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

21821404734 is a wasteful number, since it uses less digits than its factorization.

21821404734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5814 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 21821404734 in words is "twenty-one billion, eight hundred twenty-one million, four hundred four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 107 114 171 214 321 342 642 963 1926 2033 4066 5573 6099 11146 11449 12198 16719 18297 22898 33438 34347 36594 50157 68694 100314 103041 105887 206082 211774 217531 317661 435062 596311 635322 652593 952983 1192622 1305186 1788933 1905966 1957779 3577866 3915558 5366799 10733598 11329909 22659818 33989727 63805277 67979454 101969181 127610554 191415831 203938362 382831662 574247493 1148494986 1212300263 2424600526 3636900789 7273801578 10910702367 21821404734