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6422319816 = 23311293972113
BaseRepresentation
bin1011111101100110…
…01101001011001000
3121120120201122112220
411332303031023020
5101123103213231
62541140334040
7315102550323
oct57663151310
917516648486
106422319816
1127a6260a30
1212b29a4320
137b4723653
1444cd437ba
15278c59896
hex17eccd2c8

6422319816 has 128 divisors (see below), whose sum is σ = 18173635200. Its totient is φ = 1873428480.

The previous prime is 6422319793. The next prime is 6422319829. The reversal of 6422319816 is 6189132246.

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, 3038376 + ... + 3040488.

It is an arithmetic number, because the mean of its divisors is an integer number (141981525).

Almost surely, 26422319816 is an apocalyptic number.

6422319816 is a gapful number since it is divisible by the number (66) 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 6422319816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086817600).

6422319816 is an abundant number, since it is smaller than the sum of its proper divisors (11751315384).

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

6422319816 is a wasteful number, since it uses less digits than its factorization.

6422319816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2555 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 6422319816 is about 80139.3774370627. The cubic root of 6422319816 is about 1858.7913502824.

The spelling of 6422319816 in words is "six billion, four hundred twenty-two million, three hundred nineteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 397 638 696 794 957 1191 1276 1588 1914 2113 2382 2552 3176 3828 4226 4367 4764 6339 7656 8452 8734 9528 11513 12678 13101 16904 17468 23026 23243 25356 26202 34539 34936 46052 46486 50712 52404 61277 69078 69729 92104 92972 104808 122554 126643 138156 139458 183831 185944 245108 253286 276312 278916 367662 379929 490216 506572 557832 674047 735324 759858 838861 1013144 1348094 1470648 1519716 1677722 2022141 2516583 2696188 3039432 3355444 4044282 5033166 5392376 6710888 8088564 9227471 10066332 16177128 18454942 20132664 24326969 27682413 36909884 48653938 55364826 72980907 73819768 97307876 110729652 145961814 194615752 221459304 267596659 291923628 535193318 583847256 802789977 1070386636 1605579954 2140773272 3211159908 6422319816