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46683003354 = 231323311018311
BaseRepresentation
bin101011011110100001…
…100001100111011010
311110111102022021122020
4223132201201213122
51231101322101404
633240150435310
73241563660411
oct533641414732
9143442267566
1046683003354
111888637a409
12906a062b36
13452c7b9310
14238bdac478
151333585ed9
hexade8619da

46683003354 has 128 divisors (see below), whose sum is σ = 109389643776. Its totient is φ = 13163040000.

The previous prime is 46683003343. The next prime is 46683003383. The reversal of 46683003354 is 45330038664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5612859 + ... + 5621169.

It is an arithmetic number, because the mean of its divisors is an integer number (854606592).

Almost surely, 246683003354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46683003354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54694821888).

46683003354 is an abundant number, since it is smaller than the sum of its proper divisors (62706640422).

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

46683003354 is a wasteful number, since it uses less digits than its factorization.

46683003354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 46683003354 in words is "forty-six billion, six hundred eighty-three million, three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 13 23 26 31 39 46 62 69 78 93 101 138 186 202 299 303 403 598 606 713 806 897 1209 1313 1426 1794 2139 2323 2418 2626 3131 3939 4278 4646 6262 6969 7878 8311 9269 9393 13938 16622 18538 18786 24933 27807 30199 40703 49866 55614 60398 72013 81406 90597 108043 122109 144026 181194 191153 216039 216086 244218 257641 324129 382306 432078 515282 573459 648258 772923 839411 936169 1146918 1545846 1678822 1872338 2484989 2518233 2808507 3349333 4969978 5036466 5617014 5925743 6698666 7454967 10047999 10912343 11851486 14909934 17777229 19306453 20095998 21824686 26021741 32737029 35554458 38612906 52043482 57919359 65474058 77034659 78065223 115838718 154069318 156130446 231103977 250983889 338282633 462207954 501967778 598500043 676565266 752951667 1014847899 1197000086 1505903334 1795500129 2029695798 3591000258 7780500559 15561001118 23341501677 46683003354