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4968193104 = 24337333529
BaseRepresentation
bin1001010000010000…
…01001110001010000
3110211020112100201000
410220020021301100
540133324134404
62140553342000
7234054642000
oct45010116120
913736470630
104968193104
11211a463016
12b67a07900
136123a3344
14351b82000
151e1272339
hex128209c50

4968193104 has 160 divisors (see below), whose sum is σ = 16630880000. Its totient is φ = 1419441408.

The previous prime is 4968193063. The next prime is 4968193123. The reversal of 4968193104 is 4013918694.

It is a self number, because there is not a number n which added to its sum of digits gives 4968193104.

It is a congruent number.

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, 131412 + ... + 164940.

It is an arithmetic number, because the mean of its divisors is an integer number (103943000).

Almost surely, 24968193104 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 4968193104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315440000).

4968193104 is an abundant number, since it is smaller than the sum of its proper divisors (11662686896).

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

4968193104 is a wasteful number, since it uses less digits than its factorization.

4968193104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33567 (or 33541 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4968193104 is about 70485.4105755226. The cubic root of 4968193104 is about 1706.3422955991.

The spelling of 4968193104 in words is "four billion, nine hundred sixty-eight million, one hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 504 588 686 756 784 882 1008 1029 1176 1323 1372 1512 1764 2058 2352 2646 2744 3024 3087 3528 4116 5292 5488 6174 7056 8232 9261 10584 12348 16464 18522 21168 24696 33529 37044 49392 67058 74088 100587 134116 148176 201174 234703 268232 301761 402348 469406 536464 603522 704109 804696 905283 938812 1207044 1408218 1609392 1642921 1810566 1877624 2112327 2414088 2816436 3285842 3621132 3755248 4224654 4828176 4928763 5632872 6336981 6571684 7242264 8449308 9857526 11265744 11500447 12673962 13143368 14484528 14786289 16898616 19715052 23000894 25347924 26286736 29572578 33797232 34501341 39430104 44358867 46001788 50695848 59145156 69002682 78860208 88717734 92003576 101391696 103504023 118290312 138005364 177435468 184007152 207008046 236580624 276010728 310512069 354870936 414016092 552021456 621024138 709741872 828032184 1242048276 1656064368 2484096552 4968193104