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2114118688 = 251119930181
BaseRepresentation
bin111111000000010…
…1110010000100000
312110100002100122011
41332000232100200
513312203244223
6545440522304
7103250466223
oct17600562040
95410070564
102114118688
11995401730
124b0020394
13278cc2306
14160ac35ba
15c590580d
hex7e02e420

2114118688 has 48 divisors (see below), whose sum is σ = 4563518400. Its totient is φ = 956102400.

The previous prime is 2114118673. The next prime is 2114118689. The reversal of 2114118688 is 8868114112.

It is a self number, because there is not a number n which added to its sum of digits gives 2114118688.

It is not an unprimeable number, because it can be changed into a prime (2114118689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54958 + ... + 85138.

It is an arithmetic number, because the mean of its divisors is an integer number (95073300).

Almost surely, 22114118688 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 2114118688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281759200).

2114118688 is an abundant number, since it is smaller than the sum of its proper divisors (2449399712).

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

2114118688 is a wasteful number, since it uses less digits than its factorization.

2114118688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30401 (or 30393 counting only the distinct ones).

The product of its digits is 24576, while the sum is 40.

The square root of 2114118688 is about 45979.5464092459. The cubic root of 2114118688 is about 1283.4426141531.

The spelling of 2114118688 in words is "two billion, one hundred fourteen million, one hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 199 352 398 796 1592 2189 3184 4378 6368 8756 17512 30181 35024 60362 70048 120724 241448 331991 482896 663982 965792 1327964 2655928 5311856 6006019 10623712 12012038 24024076 48048152 66066209 96096304 132132418 192192608 264264836 528529672 1057059344 2114118688