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21533411412 = 2233292793001
BaseRepresentation
bin10100000011011111…
…011100100001010100
32001120200220122021000
4110003133130201110
5323100023131122
613520423423300
71361421656052
oct240337344124
961520818230
1021533411412
11915005a787
12420b5b4b30
132052297876
141083c051d2
158606b50ac
hex5037dc854

21533411412 has 144 divisors (see below), whose sum is σ = 58570220800. Its totient is φ = 6840288000.

The previous prime is 21533411399. The next prime is 21533411423. The reversal of 21533411412 is 21411433512.

21533411412 is a `hidden beast` number, since 2 + 1 + 533 + 4 + 114 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7173912 + ... + 7176912.

Almost surely, 221533411412 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 21533411412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29285110400).

21533411412 is an abundant number, since it is smaller than the sum of its proper divisors (37036809388).

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

21533411412 is a wasteful number, since it uses less digits than its factorization.

21533411412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3114 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 21533411412 its reverse (21411433512), we get a palindrome (42944844924).

The spelling of 21533411412 in words is "twenty-one billion, five hundred thirty-three million, four hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 79 87 108 116 158 174 237 261 316 348 474 522 711 783 841 948 1044 1422 1566 1682 2133 2291 2523 2844 3001 3132 3364 4266 4582 5046 6002 6873 7569 8532 9003 9164 10092 12004 13746 15138 18006 20619 22707 27009 27492 30276 36012 41238 45414 54018 61857 66439 81027 82476 87029 90828 108036 123714 132878 162054 174058 199317 237079 247428 261087 265756 324108 348116 398634 474158 522174 597951 711237 783261 797268 948316 1044348 1195902 1422474 1566522 1793853 2133711 2349783 2391804 2523841 2844948 3133044 3587706 4267422 4699566 5047682 6401133 6875291 7175412 7571523 8534844 9399132 10095364 12802266 13750582 15143046 20625873 22714569 25604532 27501164 30286092 41251746 45429138 61877619 68143707 82503492 90858276 123755238 136287414 185632857 199383439 247510476 272574828 371265714 398766878 598150317 742531428 797533756 1196300634 1794450951 2392601268 3588901902 5383352853 7177803804 10766705706 21533411412