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21150762424 = 231189103157167
BaseRepresentation
bin10011101100101011…
…110000010110111000
32000121000220001112021
4103230223300112320
5321304043344144
613414434124224
71346064341251
oct235453602670
960530801467
1021150762424
118a74065950
124123420674
131cc0c1ca4c
141049079b28
1583bccc884
hex4ecaf05b8

21150762424 has 128 divisors (see below), whose sum is σ = 44721331200. Its totient is φ = 9297699840.

The previous prime is 21150762403. The next prime is 21150762497. The reversal of 21150762424 is 42426705112.

It is a super-2 number, since 2×211507624242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21150762424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126651189 + ... + 126651355.

It is an arithmetic number, because the mean of its divisors is an integer number (349385400).

Almost surely, 221150762424 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 21150762424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22360665600).

21150762424 is an abundant number, since it is smaller than the sum of its proper divisors (23570568776).

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

21150762424 is a wasteful number, since it uses less digits than its factorization.

21150762424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 21150762424 in words is "twenty-one billion, one hundred fifty million, seven hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 89 103 157 167 178 206 314 334 356 412 628 668 712 824 979 1133 1256 1336 1727 1837 1958 2266 3454 3674 3916 4532 6908 7348 7832 9064 9167 13816 13973 14696 14863 16171 17201 18334 26219 27946 29726 32342 34402 36668 52438 55892 59452 64684 68804 73336 100837 104876 111784 118904 129368 137608 153703 163493 177881 189211 201674 209752 288409 307406 326986 355762 378422 403348 576818 614812 653972 711524 756844 806696 1153636 1229624 1307944 1423048 1439219 1513688 1530889 2307272 2333491 2700557 2878438 3061778 4666982 5401114 5756876 6123556 9333964 10802228 11513752 12247112 15831409 16839779 18667928 21604456 25668401 29706127 31662818 33679558 51336802 59412254 63325636 67359116 102673604 118824508 126651272 134718232 205347208 237649016 240349573 480699146 961398292 1922796584 2643845303 5287690606 10575381212 21150762424