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14116627686 = 23737611371087
BaseRepresentation
bin11010010010110101…
…01010010011100110
31100102210220222200110
431021122222103212
5212402324041221
610252440153450
71006552232640
oct151132522346
940383828613
1014116627686
115a94517357
12289b768886
13143c824b45
1497cb95890
155794be776
hex3496aa4e6

14116627686 has 128 divisors (see below), whose sum is σ = 33958969344. Its totient is φ = 3828280320.

The previous prime is 14116627669. The next prime is 14116627741. The reversal of 14116627686 is 68672661141.

It is a happy number.

14116627686 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12986235 + ... + 12987321.

It is an arithmetic number, because the mean of its divisors is an integer number (265304448).

Almost surely, 214116627686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14116627686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16979484672).

14116627686 is an abundant number, since it is smaller than the sum of its proper divisors (19842341658).

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

14116627686 is a wasteful number, since it uses less digits than its factorization.

14116627686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334.

The product of its digits is 580608, while the sum is 48.

The spelling of 14116627686 in words is "fourteen billion, one hundred sixteen million, six hundred twenty-seven thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 37 42 61 74 111 122 137 183 222 259 274 366 411 427 518 777 822 854 959 1087 1281 1554 1918 2174 2257 2562 2877 3261 4514 5069 5754 6522 6771 7609 8357 10138 13542 15207 15218 15799 16714 22827 25071 30414 31598 35483 40219 45654 47397 50142 58499 66307 70966 80438 94794 106449 116998 120657 132614 148919 175497 198921 212898 241314 281533 297838 309209 350994 397842 446757 464149 563066 618418 844599 893514 927627 928298 1042433 1392447 1689198 1855254 2084866 2164463 2453359 2784894 3127299 4328926 4906718 5510003 6254598 6493389 7360077 9084059 11020006 12986778 14720154 16530009 17173513 18168118 27252177 33060018 34347026 38570021 51520539 54504354 63588413 77140042 103041078 115710063 127176826 190765239 231420126 336110183 381530478 672220366 1008330549 2016661098 2352771281 4705542562 7058313843 14116627686