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86938406937 = 3289108537337
BaseRepresentation
bin101000011110111101…
…1101101000000011001
322022101212221122222200
41100331323231000121
52411022213010222
6103534451440413
76165262160154
oct1207573550031
9268355848880
1086938406937
1133963511998
1214a235b6109
138276753955
1442ca460c9b
1523dc6bceac
hex143deed019

86938406937 has 12 divisors (see below), whose sum is σ = 126988685460. Its totient is φ = 57307713408.

The previous prime is 86938406899. The next prime is 86938406941. The reversal of 86938406937 is 73960483968.

It can be written as a sum of positive squares in 2 ways, for example, as 41783856921 + 45154550016 = 204411^2 + 212496^2 .

It is not a de Polignac number, because 86938406937 - 26 = 86938406873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86938406977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54267868 + ... + 54269469.

It is an arithmetic number, because the mean of its divisors is an integer number (10582390455).

Almost surely, 286938406937 is an apocalyptic number.

It is an amenable number.

86938406937 is a deficient number, since it is larger than the sum of its proper divisors (40050278523).

86938406937 is a wasteful number, since it uses less digits than its factorization.

86938406937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108537432 (or 108537429 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 86938406937 in words is "eighty-six billion, nine hundred thirty-eight million, four hundred six thousand, nine hundred thirty-seven".

Divisors: 1 3 9 89 267 801 108537337 325612011 976836033 9659822993 28979468979 86938406937