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4227411968 = 21213231197
BaseRepresentation
bin1111101111111001…
…0011000000000000
3101220121121210000122
43323332103000000
532124204140333
61535252035412
7206521260143
oct37376230000
911817553018
104227411968
11187a29a1aa
1299b902b68
13524a85a00
142c163005a
1519b1e6798
hexfbf93000

4227411968 has 156 divisors (see below), whose sum is σ = 9497366208. Its totient is φ = 1878589440.

The previous prime is 4227411953. The next prime is 4227411989. The reversal of 4227411968 is 8691147224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21458846 + ... + 21459042.

Almost surely, 24227411968 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 4227411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748683104).

4227411968 is an abundant number, since it is smaller than the sum of its proper divisors (5269954240).

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

4227411968 is a wasteful number, since it uses less digits than its factorization.

4227411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 243 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 4227411968 is about 65018.5509527858. The cubic root of 4227411968 is about 1616.9311367427.

The spelling of 4227411968 in words is "four billion, two hundred twenty-seven million, four hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 169 197 208 248 256 338 394 403 416 496 512 676 788 806 832 992 1024 1352 1576 1612 1664 1984 2048 2561 2704 3152 3224 3328 3968 4096 5122 5239 5408 6107 6304 6448 6656 7936 10244 10478 10816 12214 12608 12896 13312 15872 20488 20956 21632 24428 25216 25792 26624 31744 33293 40976 41912 43264 48856 50432 51584 53248 63488 66586 79391 81952 83824 86528 97712 100864 103168 126976 133172 158782 163904 167648 173056 195424 201728 206336 266344 317564 327808 335296 346112 390848 403456 412672 532688 635128 655616 670592 692224 781696 806912 825344 1032083 1065376 1270256 1311232 1341184 1563392 1650688 2064166 2130752 2540512 2622464 2682368 3126784 4128332 4261504 5081024 5244928 5364736 6253568 8256664 8523008 10162048 10489856 10729472 12507136 16513328 17046016 20324096 21458944 25014272 33026656 34092032 40648192 66053312 68184064 81296384 132106624 136368128 162592768 264213248 325185536 528426496 1056852992 2113705984 4227411968