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6493909338 = 2327219479809
BaseRepresentation
bin1100000110001000…
…10011000101011010
3121202120102202220200
412003010103011122
5101244420044323
62552215003030
7316632214200
oct60304230532
917676382820
106493909338
112832708224
121312969476
137c64ca807
1445865b070
1528019b443
hex18311315a

6493909338 has 144 divisors (see below), whose sum is σ = 17286048000. Its totient is φ = 1751912064.

The previous prime is 6493909333. The next prime is 6493909351. The reversal of 6493909338 is 8339093946.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6493909333) 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 71 ways as a sum of consecutive naturals, for example, 8026678 + ... + 8027486.

It is an arithmetic number, because the mean of its divisors is an integer number (120042000).

Almost surely, 26493909338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6493909338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8643024000).

6493909338 is an abundant number, since it is smaller than the sum of its proper divisors (10792138662).

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

6493909338 is a wasteful number, since it uses less digits than its factorization.

6493909338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 6493909338 is about 80584.7959481191. The cubic root of 6493909338 is about 1865.6724869170.

The spelling of 6493909338 in words is "six billion, four hundred ninety-three million, nine hundred nine thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 479 798 809 882 931 958 1197 1437 1618 1862 2394 2427 2793 2874 3353 4311 4854 5586 5663 6706 7281 8379 8622 9101 10059 11326 14562 15371 16758 16989 18202 20118 23471 27303 30177 30742 33978 39641 46113 46942 50967 54606 60354 63707 70413 79282 81909 92226 101934 107597 118923 127414 138339 140826 163818 191121 211239 215194 237846 276678 322791 356769 382242 387511 422478 445949 573363 645582 713538 753179 775022 891898 968373 1146726 1162533 1337847 1506358 1936746 2259537 2325066 2675694 2712577 3487599 4013541 4519074 5425154 6778611 6975198 7362709 8027082 8137731 13557222 14725418 16275462 18988039 22088127 24413193 37976078 44176254 48826386 51538963 56964117 66264381 103077926 113928234 132528762 154616889 170892351 309233778 341784702 360772741 463850667 721545482 927701334 1082318223 2164636446 3246954669 6493909338