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21412022408 = 2372367281883
BaseRepresentation
bin10011111100010000…
…011000100010001000
32001021020111102211222
4103330100120202020
5322322434204113
613500405541212
71355416121210
oct237420304210
961236442758
1021412022408
11909858a397
124196a14808
1320330a565a
141071a47240
15854bd7e08
hex4fc418888

21412022408 has 128 divisors (see below), whose sum is σ = 48820561920. Its totient is φ = 8606062080.

The previous prime is 21412022407. The next prime is 21412022447. The reversal of 21412022408 is 80422021412.

It is not an unprimeable number, because it can be changed into a prime (21412022407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24248735 + ... + 24249617.

It is an arithmetic number, because the mean of its divisors is an integer number (381410640).

Almost surely, 221412022408 is an apocalyptic number.

21412022408 is a gapful number since it is divisible by the number (28) 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 21412022408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24410280960).

21412022408 is an abundant number, since it is smaller than the sum of its proper divisors (27408539512).

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

21412022408 is a wasteful number, since it uses less digits than its factorization.

21412022408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The spelling of 21412022408 in words is "twenty-one billion, four hundred twelve million, twenty-two thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 184 268 281 322 469 536 562 644 883 938 1124 1288 1541 1766 1876 1967 2248 3082 3532 3752 3934 6164 6181 6463 7064 7868 10787 12328 12362 12926 15736 18827 20309 21574 24724 25852 37654 40618 43148 45241 49448 51704 59161 75308 81236 86296 90482 118322 131789 142163 150616 162472 180964 236644 248123 263578 284326 361928 414127 433021 473288 496246 527156 568652 828254 866042 992492 1054312 1137304 1360703 1656508 1732084 1736861 1984984 2721406 3031147 3313016 3464168 3473722 5442812 5706829 6062294 6947444 9524921 10885624 11413658 12124588 13894888 16624241 19049842 22827316 24249176 33248482 38099684 39947803 45654632 66496964 76199368 79895606 116369687 132993928 159791212 232739374 319582424 382357543 465478748 764715086 930957496 1529430172 2676502801 3058860344 5353005602 10706011204 21412022408