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21155004024 = 23372112148669
BaseRepresentation
bin10011101100111011…
…111011111001111000
32000121022212112220120
4103230323323321320
5321311140112044
613415105053240
71346145365400
oct235473737170
960538775816
1021155004024
118a764a2700
124124927220
131cc1a7657b
141049861800
1583c369519
hex4ecefbe78

21155004024 has 144 divisors (see below), whose sum is σ = 67624036200. Its totient is φ = 5494769280.

The previous prime is 21155004011. The next prime is 21155004041. The reversal of 21155004024 is 42040055112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21155003985 and 21155004003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67962 + ... + 216630.

Almost surely, 221155004024 is an apocalyptic number.

21155004024 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 21155004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33812018100).

21155004024 is an abundant number, since it is smaller than the sum of its proper divisors (46469032176).

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

21155004024 is a wasteful number, since it uses less digits than its factorization.

21155004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148714 (or 148692 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 21155004024 its reverse (42040055112), we get a palindrome (63195059136).

The spelling of 21155004024 in words is "twenty-one billion, one hundred fifty-five million, four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 363 392 462 484 539 588 616 726 847 924 968 1078 1176 1452 1617 1694 1848 2156 2541 2904 3234 3388 4312 5082 5929 6468 6776 10164 11858 12936 17787 20328 23716 35574 47432 71148 142296 148669 297338 446007 594676 892014 1040683 1189352 1635359 1784028 2081366 3122049 3270718 3568056 4162732 4906077 6244098 6541436 7284781 8325464 9812154 11447513 12488196 13082872 14569562 17988949 19624308 21854343 22895026 24976392 29139124 34342539 35977898 39248616 43708686 45790052 53966847 58278248 68685078 71955796 80132591 87417372 91580104 107933694 125922643 137370156 143911592 160265182 174834744 215867388 240397773 251845286 274740312 320530364 377767929 431734776 480795546 503690572 641060728 755535858 881458501 961591092 1007381144 1511071716 1762917002 1923182184 2644375503 3022143432 3525834004 5288751006 7051668008 10577502012 21155004024