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332881366328 = 23721929832393
BaseRepresentation
bin1001101100000010100…
…01101000110100111000
31011211020002000111122122
410312001101220310320
520423220112210303
6412531254540412
733023052633200
oct4660121506470
91154202014578
10332881366328
111191a0942515
1254621367708
132551013c1a4
141217c111400
1589d4245e38
hex4d81468d38

332881366328 has 144 divisors (see below), whose sum is σ = 767379750480. Its totient is φ = 134960926464.

The previous prime is 332881366327. The next prime is 332881366343. The reversal of 332881366328 is 823663188233.

It is a super-2 number, since 2×3328813663282 (a number of 24 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 332881366328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332881366327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139105100 + ... + 139107492.

It is an arithmetic number, because the mean of its divisors is an integer number (5329026045).

Almost surely, 2332881366328 is an apocalyptic number.

332881366328 is a gapful number since it is divisible by the number (38) 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 332881366328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383689875240).

332881366328 is an abundant number, since it is smaller than the sum of its proper divisors (434498384152).

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

332881366328 is a wasteful number, since it uses less digits than its factorization.

332881366328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3404 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 53.

The spelling of 332881366328 in words is "three hundred thirty-two billion, eight hundred eighty-one million, three hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 361 392 532 722 931 983 1064 1444 1862 1966 2393 2527 2888 3724 3932 4786 5054 6881 7448 7864 9572 10108 13762 16751 17689 18677 19144 20216 27524 33502 35378 37354 45467 48167 55048 67004 70756 74708 90934 96334 117257 130739 134008 141512 149416 181868 192668 234514 261478 318269 354863 363736 385336 469028 522956 636538 709726 863873 915173 938056 1045912 1273076 1419452 1727746 1830346 2227883 2352319 2484041 2546152 2838904 3455492 3660692 4455766 4704638 4968082 6047111 6910984 7321384 8911532 9409276 9936164 12094222 16466233 17388287 17823064 18818552 19872328 24188444 32932466 34776574 42329777 44694061 48376888 65864932 69553148 84659554 89388122 115263631 131729864 139106296 169319108 178776244 230527262 312858427 338638216 357552488 461054524 625716854 849187159 922109048 1251433708 1698374318 2190008989 2502867416 3396748636 4380017978 5944310113 6793497272 8760035956 11888620226 17520071912 23777240452 41610170791 47554480904 83220341582 166440683164 332881366328