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305680188114 = 23272443782339
BaseRepresentation
bin1000111001010111111…
…01011000001011010010
31002020000101012110222200
410130223331120023102
520002013112004424
6352232203144030
731041016504500
oct4345375301322
91066011173880
10305680188114
11108702551744
124b2ab815016
1322a96880c72
1410b1b6a1670
157e411c28c9
hex472bf582d2

305680188114 has 72 divisors (see below), whose sum is σ = 772178968080. Its totient is φ = 87139935792.

The previous prime is 305680188109. The next prime is 305680188193. The reversal of 305680188114 is 411881086503.

305680188114 is a `hidden beast` number, since 3 + 0 + 568 + 0 + 1 + 8 + 81 + 1 + 4 = 666.

305680188114 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 305680188114.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 444 + ... + 781895.

It is an arithmetic number, because the mean of its divisors is an integer number (10724707890).

Almost surely, 2305680188114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305680188114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386089484040).

305680188114 is an abundant number, since it is smaller than the sum of its proper divisors (466498779966).

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

305680188114 is a wasteful number, since it uses less digits than its factorization.

305680188114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782804 (or 782794 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 305680188114 in words is "three hundred five billion, six hundred eighty million, one hundred eighty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 443 882 886 1329 2658 3101 3987 6202 7974 9303 18606 21707 27909 43414 55818 65121 130242 195363 390726 782339 1564678 2347017 4694034 5476373 7041051 10952746 14082102 16429119 32858238 38334611 49287357 76669222 98574714 115003833 230007666 345011499 346576177 690022998 693152354 1039728531 2079457062 2426033239 3119185593 4852066478 6238371186 7278099717 14556199434 16982232673 21834299151 33964465346 43668598302 50946698019 101893396038 152840094057 305680188114