Search a number
-
+
7163801120 = 255734718433
BaseRepresentation
bin1101010101111111…
…01110111000100000
3200111020221210200102
412222333232320200
5104132413113440
63142505041532
7342345206360
oct65277567040
920436853612
107163801120
1130468628a3
12147b1862a8
138a2227898
144bd5d89a0
152bddc2b15
hex1aafeee20

7163801120 has 96 divisors (see below), whose sum is σ = 19399056768. Its totient is φ = 2448949248.

The previous prime is 7163801119. The next prime is 7163801123. The reversal of 7163801120 is 211083617.

It is not an unprimeable number, because it can be changed into a prime (7163801123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 379424 + ... + 397856.

It is an arithmetic number, because the mean of its divisors is an integer number (202073508).

Almost surely, 27163801120 is an apocalyptic number.

7163801120 is a gapful number since it is divisible by the number (70) 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 7163801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9699528384).

7163801120 is an abundant number, since it is smaller than the sum of its proper divisors (12235255648).

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

7163801120 is a wasteful number, since it uses less digits than its factorization.

7163801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18802 (or 18794 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 7163801120 is about 84639.2410173910. The cubic root of 7163801120 is about 1927.7372534976.

Adding to 7163801120 its reverse (211083617), we get a palindrome (7374884737).

The spelling of 7163801120 in words is "seven billion, one hundred sixty-three million, eight hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 347 560 694 1120 1388 1735 2429 2776 3470 4858 5552 6940 9716 11104 12145 13880 18433 19432 24290 27760 36866 38864 48580 55520 73732 77728 92165 97160 129031 147464 184330 194320 258062 294928 368660 388640 516124 589856 645155 737320 1032248 1290310 1474640 2064496 2580620 2949280 4128992 5161240 6396251 10322480 12792502 20644960 25585004 31981255 44773757 51170008 63962510 89547514 102340016 127925020 179095028 204680032 223868785 255850040 358190056 447737570 511700080 716380112 895475140 1023400160 1432760224 1790950280 3581900560 7163801120