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393348042920 = 23572435746061
BaseRepresentation
bin1011011100101010101…
…11101101000010101000
31101121022002201221100002
411232111113231002220
522421034044333140
6500411313402132
740263350125100
oct5562527550250
91347262657302
10393348042920
111418aa796608
1264297569348
132b128484871
1415076964200
15a37292d415
hex5b955ed0a8

393348042920 has 96 divisors (see below), whose sum is σ = 1029786945480. Its totient is φ = 134828305920.

The previous prime is 393348042917. The next prime is 393348042931. The reversal of 393348042920 is 29240843393.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 347111862244 + 46236180676 = 589162^2 + 215026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8516690 + ... + 8562750.

Almost surely, 2393348042920 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 393348042920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514893472740).

393348042920 is an abundant number, since it is smaller than the sum of its proper divisors (636438902560).

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

393348042920 is a wasteful number, since it uses less digits than its factorization.

393348042920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50443 (or 50432 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The spelling of 393348042920 in words is "three hundred ninety-three billion, three hundred forty-eight million, forty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 4357 8714 17428 21785 30499 34856 43570 46061 60998 87140 92122 121996 152495 174280 184244 213493 230305 243992 304990 322427 368488 426986 460610 609980 644854 853972 921220 1067465 1219960 1289708 1612135 1707944 1842440 2134930 2256989 2579416 3224270 4269860 4513978 6448540 8539720 9027956 11284945 12897080 18055912 22569890 45139780 90279560 200687777 401375554 802751108 1003438885 1404814439 1605502216 2006877770 2809628878 4013755540 5619257756 7024072195 8027511080 9833701073 11238515512 14048144390 19667402146 28096288780 39334804292 49168505365 56192577560 78669608584 98337010730 196674021460 393348042920