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43686422468634 = 231119290911975819
BaseRepresentation
bin10011110111011100010011…
…01100010101100000011010
312201200101021220011121221110
421323232021230111200122
521211224243122444014
6232525133155321150
712126145163030601
oct1173561154254032
9181611256147843
1043686422468634
1112a13342643140
124a9687a5b01b6
131b4b7c5632c6a
14ab0611372a38
1550b5b6535d59
hex27bb89b1581a

43686422468634 has 64 divisors (see below), whose sum is σ = 100366952256000. Its totient is φ = 12537244347840.

The previous prime is 43686422468603. The next prime is 43686422468639.

It is a happy number.

43686422468634 is nontrivially palindromic in base 10.

43686422468634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (43686422468639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340024 + ... + 9635795.

It is an arithmetic number, because the mean of its divisors is an integer number (1568233629000).

Almost surely, 243686422468634 is an apocalyptic number.

43686422468634 is an abundant number, since it is smaller than the sum of its proper divisors (56680529787366).

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

43686422468634 is a wasteful number, since it uses less digits than its factorization.

43686422468634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978763.

The product of its digits is 764411904, while the sum is 66.

The spelling of 43686422468634 in words is "forty-three trillion, six hundred eighty-six billion, four hundred twenty-two million, four hundred sixty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 2909 5818 8727 17454 31999 55271 63998 95997 110542 165813 191994 331626 607981 1215962 1823943 3647886 11975819 23951638 35927457 71854914 131734009 227540561 263468018 395202027 455081122 682621683 790404054 1365243366 2502946171 5005892342 7508838513 15017677026 34837657471 69675314942 104512972413 209025944826 383214232181 661915491949 766428464362 1149642696543 1323830983898 1985746475847 2299285393086 3971492951694 7281070411439 14562140822878 21843211234317 43686422468634