Search a number
-
+
21035334024 = 23321936312399
BaseRepresentation
bin10011100101110011…
…011011100110001000
32000021222200200112100
4103211303123212020
5321040021142044
613355152113400
71343163250305
oct234563334610
960258620470
1021035334024
118a14996881
1240b0835860
131ca3036913
1410379d00ac
15831acb869
hex4e5cdb988

21035334024 has 96 divisors (see below), whose sum is σ = 57380544000. Its totient is φ = 6961489920.

The previous prime is 21035333993. The next prime is 21035334071. The reversal of 21035334024 is 42043353012.

21035334024 is a `hidden beast` number, since 2 + 103 + 533 + 4 + 0 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8767177 + ... + 8769575.

It is an arithmetic number, because the mean of its divisors is an integer number (597714000).

Almost surely, 221035334024 is an apocalyptic number.

21035334024 is a gapful number since it is divisible by the number (24) 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 21035334024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28690272000).

21035334024 is an abundant number, since it is smaller than the sum of its proper divisors (36345209976).

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

21035334024 is a wasteful number, since it uses less digits than its factorization.

21035334024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 21035334024 its reverse (42043353012), we get a palindrome (63078687036).

The spelling of 21035334024 in words is "twenty-one billion, thirty-five million, three hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 631 772 1158 1262 1544 1737 1893 2316 2399 2524 3474 3786 4632 4798 5048 5679 6948 7197 7572 9596 11358 13896 14394 15144 19192 21591 22716 28788 43182 45432 57576 86364 121783 172728 243566 365349 463007 487132 730698 926014 974264 1096047 1389021 1461396 1513769 1852028 2192094 2778042 2922792 3027538 3704056 4167063 4384188 4541307 5556084 6055076 8334126 8768376 9082614 11112168 12110152 13623921 16668252 18165228 27247842 33336504 36330456 54495684 108991368 292157417 584314834 876472251 1168629668 1752944502 2337259336 2629416753 3505889004 5258833506 7011778008 10517667012 21035334024