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21333335424 = 273292417949
BaseRepresentation
bin10011110111100100…
…001101110110000000
32001001202102201121020
4103313210031312000
5322142313213144
613444515225440
71353442234122
oct236744156600
961052381536
1021333335424
119058125725
1241745a8280
13201c9b4acb
141065403212
1584cd43419
hex4f790dd80

21333335424 has 128 divisors (see below), whose sum is σ = 58871340000. Its totient is φ = 6836551680.

The previous prime is 21333335389. The next prime is 21333335431. The reversal of 21333335424 is 42453333312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×213333354242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2679802 + ... + 2687750.

Almost surely, 221333335424 is an apocalyptic number.

21333335424 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 21333335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29435670000).

21333335424 is an abundant number, since it is smaller than the sum of its proper divisors (37538004576).

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

21333335424 is a wasteful number, since it uses less digits than its factorization.

21333335424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8224 counting only the distinct ones).

The product of its digits is 77760, while the sum is 33.

Adding to 21333335424 its reverse (42453333312), we get a palindrome (63786668736).

The spelling of 21333335424 in words is "twenty-one billion, three hundred thirty-three million, three hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 241 348 384 464 482 696 723 928 964 1392 1446 1856 1928 2784 2892 3712 3856 5568 5784 6989 7712 7949 11136 11568 13978 15424 15898 20967 23136 23847 27956 30848 31796 41934 46272 47694 55912 63592 83868 92544 95388 111824 127184 167736 190776 223648 230521 254368 335472 381552 447296 461042 508736 670944 691563 763104 894592 922084 1017472 1341888 1383126 1526208 1844168 1915709 2683776 2766252 3052416 3688336 3831418 5532504 5747127 7376672 7662836 11065008 11494254 14753344 15325672 22130016 22988508 29506688 30651344 44260032 45977016 55555561 61302688 88520064 91954032 111111122 122605376 166666683 183908064 222222244 245210752 333333366 367816128 444444488 666666732 735632256 888888976 1333333464 1777777952 2666666928 3555555904 5333333856 7111111808 10666667712 21333335424