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14166349276638 = 23133733128975119
BaseRepresentation
bin1100111000100101110000…
…1101110110010111011110
31212011021211020102202220110
43032021130031312113132
53324100140403323023
650043533033230450
72661325225024266
oct316113415662736
955137736382813
1014166349276638
114571a0793a309
121709649862426
137b9b5b74b4a0
1436d9253107a6
15198774eb7a93
hexce25c3765de

14166349276638 has 128 divisors (see below), whose sum is σ = 31448454266880. Its totient is φ = 4225971087360.

The previous prime is 14166349276609. The next prime is 14166349276657. The reversal of 14166349276638 is 83667294366141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2767403043 + ... + 2767408161.

It is an arithmetic number, because the mean of its divisors is an integer number (245691048960).

Almost surely, 214166349276638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14166349276638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724227133440).

14166349276638 is an abundant number, since it is smaller than the sum of its proper divisors (17282104990242).

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

14166349276638 is a wasteful number, since it uses less digits than its factorization.

14166349276638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402.

The product of its digits is 188116992, while the sum is 66.

The spelling of 14166349276638 in words is "fourteen trillion, one hundred sixty-six billion, three hundred forty-nine million, two hundred seventy-six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 331 481 662 962 993 1443 1986 2886 2897 4303 5119 5794 8606 8691 10238 12247 12909 15357 17382 24494 25818 30714 36741 37661 66547 73482 75322 107189 112983 133094 159211 189403 199641 214378 225966 318422 321567 378806 399282 477633 568209 643134 955266 958907 1136418 1393457 1694389 1917814 2462239 2786914 2876721 3388778 4180371 4924478 5083167 5753442 7386717 8360742 10166334 12465791 14773434 14829743 22027057 24931582 29659486 35479559 37397373 44054114 44489229 62692393 66081171 70959118 74794746 88978458 106438677 125384786 132162342 188077179 192786659 212877354 376154358 385573318 461234267 548700491 578359977 815001109 922468534 1097400982 1156719954 1383702801 1630002218 1646101473 2445003327 2767405602 3292202946 4890006654 4908644933 7133106383 9817289866 14266212766 14725934799 21399319149 29451869598 42798638298 63812384129 127624768258 181619862521 191437152387 363239725042 382874304774 544859587563 1089719175126 2361058212773 4722116425546 7083174638319 14166349276638