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67132523789214 = 23131139397810533
BaseRepresentation
bin11110100001110100000100…
…01110111011101110011110
322210200210210000020111220220
433100322002032323232132
532244344402042223324
6354440131120422210
720066110344012222
oct1720720216735636
9283623700214826
1067132523789214
111a43281a5a0794
127642896477966
132b5c753bb9b30
1412813352bc782
157b640e98eb79
hex3d0e823bbb9e

67132523789214 has 64 divisors (see below), whose sum is σ = 145888416684864. Its totient is φ = 20471159310336.

The previous prime is 67132523789173. The next prime is 67132523789237. The reversal of 67132523789214 is 41298732523176.

It is a super-3 number, since 3×671325237892143 (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

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, 82419892 + ... + 83230424.

It is an arithmetic number, because the mean of its divisors is an integer number (2279506510701).

Almost surely, 267132523789214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67132523789214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72944208342432).

67132523789214 is an abundant number, since it is smaller than the sum of its proper divisors (78755892895650).

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

67132523789214 is a wasteful number, since it uses less digits than its factorization.

67132523789214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820061.

The product of its digits is 30481920, while the sum is 60.

The spelling of 67132523789214 in words is "sixty-seven trillion, one hundred thirty-two billion, five hundred twenty-three million, seven hundred eighty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2938 4407 8814 9397 18794 28191 56382 122161 244322 366483 732966 810533 1061861 1621066 2123722 2431599 3185583 4863198 6371166 10536929 13804193 21073858 27608386 31610787 41412579 63221574 82825158 91590229 183180458 274770687 549541374 1190672977 2381345954 3572018931 7144037862 7616578601 15233157202 22849735803 45699471606 99015521813 198031043626 297046565439 594093130878 860673381913 1721346763826 2582020145739 5164040291478 11188753964869 22377507929738 33566261894607 67132523789214