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2115119888 = 24728930313
BaseRepresentation
bin111111000010010…
…0010101100010000
312110101222020000122
41332010202230100
513312432314023
6545514205412
7103262136200
oct17604425420
95411866018
102115119888
11995a25972
124b0423868
13279282c3b
14160ca4400
15c5a522c8
hex7e122b10

2115119888 has 60 divisors (see below), whose sum is σ = 4820835420. Its totient is φ = 896265216.

The previous prime is 2115119887. The next prime is 2115119899. The reversal of 2115119888 is 8889115112.

It can be written as a sum of positive squares in 2 ways, for example, as 1207423504 + 907696384 = 34748^2 + 30128^2 .

It is a super-2 number, since 2×21151198882 = 8947464281226265088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2115119887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54620 + ... + 84932.

It is an arithmetic number, because the mean of its divisors is an integer number (80347257).

Almost surely, 22115119888 is an apocalyptic number.

2115119888 is a gapful number since it is divisible by the number (28) 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 2115119888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410417710).

2115119888 is an abundant number, since it is smaller than the sum of its proper divisors (2705715532).

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

2115119888 is a wasteful number, since it uses less digits than its factorization.

2115119888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30424 (or 30411 counting only the distinct ones).

The product of its digits is 46080, while the sum is 44.

The square root of 2115119888 is about 45990.4325702640. The cubic root of 2115119888 is about 1283.6451855539.

The spelling of 2115119888 in words is "two billion, one hundred fifteen million, one hundred nineteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 356 392 623 712 784 1246 1424 2492 4361 4984 8722 9968 17444 30313 34888 60626 69776 121252 212191 242504 424382 485008 848764 1485337 1697528 2697857 2970674 3395056 5395714 5941348 10791428 11882696 18884999 21582856 23765392 37769998 43165712 75539996 132194993 151079992 264389986 302159984 528779972 1057559944 2115119888