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86441270509839 = 3715754747930821
BaseRepresentation
bin10011101001111000101101…
…001110010000000100001111
3102100001201000202201001212110
4103221320231032100010033
542312223210222303324
6503502323234035103
724131114160100620
oct2351705516200417
9370051022631773
1086441270509839
11255a759a757863
129840a92718a93
1339304b8b9396b
14174bacbb59a47
159ed8085b9329
hex4e9e2d39010f

86441270509839 has 32 divisors (see below), whose sum is σ = 132801353345536. Its totient is φ = 48990666291840.

The previous prime is 86441270509823. The next prime is 86441270509889. The reversal of 86441270509839 is 93890507214468.

It is a happy number.

It is not a de Polignac number, because 86441270509839 - 24 = 86441270509823 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86441270509839.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86441270509889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22161952 + ... + 25768869.

It is an arithmetic number, because the mean of its divisors is an integer number (4150042292048).

It is a 1-persistent number, because it is pandigital, but 2⋅86441270509839 = 172882541019678 is not.

Almost surely, 286441270509839 is an apocalyptic number.

86441270509839 is a deficient number, since it is larger than the sum of its proper divisors (46360082835697).

86441270509839 is a wasteful number, since it uses less digits than its factorization.

86441270509839 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47931535.

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 86441270509839 in words is "eighty-six trillion, four hundred forty-one billion, two hundred seventy million, five hundred nine thousand, eight hundred thirty-nine".

Divisors: 1 3 7 21 157 471 547 1099 1641 3297 3829 11487 85879 257637 601153 1803459 47930821 143792463 335515747 1006547241 7525138897 22575416691 26218159087 52675972279 78654477261 158027916837 183527113609 550581340827 4116250976659 12348752929977 28813756836613 86441270509839