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2113370784 = 25337249919
BaseRepresentation
bin111110111110111…
…0111101010100000
312110021200100201000
41331331313222200
513312010331114
6545412512000
7103241232600
oct17575675240
95407610630
102113370784
11994a40828
124ab91b600
13278abca75
1416096ac00
15c5808e09
hex7df77aa0

2113370784 has 144 divisors (see below), whose sum is σ = 7170508800. Its totient is φ = 603808128.

The previous prime is 2113370767. The next prime is 2113370797. The reversal of 2113370784 is 4870733112.

2113370784 is a `hidden beast` number, since 211 + 3 + 370 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17377 + ... + 67295.

It is an arithmetic number, because the mean of its divisors is an integer number (49795200).

Almost surely, 22113370784 is an apocalyptic number.

2113370784 is a gapful number since it is divisible by the number (24) 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 2113370784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585254400).

2113370784 is an abundant number, since it is smaller than the sum of its proper divisors (5057138016).

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

2113370784 is a wasteful number, since it uses less digits than its factorization.

2113370784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49952 (or 49931 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2113370784 is about 45971.4126822311. The cubic root of 2113370784 is about 1283.2912500433.

The spelling of 2113370784 in words is "two billion, one hundred thirteen million, three hundred seventy thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 49919 99838 149757 199676 299514 349433 399352 449271 599028 698866 798704 898542 1048299 1198056 1347813 1397732 1597408 1797084 2096598 2396112 2446031 2695626 2795464 3144897 3594168 4193196 4792224 4892062 5391252 5590928 6289794 7188336 7338093 8386392 9434691 9784124 10782504 11181856 12579588 14376672 14676186 16772784 18869382 19568248 21565008 22014279 25159176 29352372 33545568 37738764 39136496 43130016 44028558 50318352 58704744 66042837 75477528 78272992 88057116 100636704 117409488 132085674 150955056 176114232 234818976 264171348 301910112 352228464 528342696 704456928 1056685392 2113370784