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834186681438 = 2311432593113357
BaseRepresentation
bin11000010001110010110…
…01101001110001011110
32221202011220102002121020
430020321121221301132
5102131403242301223
61435115311345010
7114160631541135
oct14107131516136
92852156362536
10834186681438
112a185a6a8530
12115807522166
1360881836266
142c53683a91c
1516a747691e3
hexc239669c5e

834186681438 has 64 divisors (see below), whose sum is σ = 1863104931072. Its totient is φ = 246807751680.

The previous prime is 834186681403. The next prime is 834186681533.

834186681438 is nontrivially palindromic in base 10.

834186681438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7302256 + ... + 7415612.

It is an arithmetic number, because the mean of its divisors is an integer number (29111014548).

Almost surely, 2834186681438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834186681438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931552465536).

834186681438 is an abundant number, since it is smaller than the sum of its proper divisors (1028918249634).

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

834186681438 is a wasteful number, since it uses less digits than its factorization.

834186681438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116009.

The product of its digits is 21233664, while the sum is 60.

The spelling of 834186681438 in words is "eight hundred thirty-four billion, one hundred eighty-six million, six hundred eighty-one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2593 2838 5186 7779 15558 28523 57046 85569 111499 113357 171138 222998 226714 334497 340071 668994 680142 1226489 1246927 2452978 2493854 3679467 3740781 4874351 7358934 7481562 9748702 14623053 29246106 53617861 107235722 160853583 293934701 321707166 587869402 881804103 1763608206 3233281711 6466563422 9699845133 12639192143 19399690266 25278384286 37917576429 75835152858 139031113573 278062227146 417093340719 834186681438