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86440089073 = 1323176612441
BaseRepresentation
bin101000010000000111…
…0110001010111110001
322021010011021111101111
41100200032301113301
52404012130322243
6103413211033321
76150031430332
oct1204016612761
9267104244344
1086440089073
11337281a4348
121490473b841
1381c743a400
1442801c6289
1523ada8839d
hex14203b15f1

86440089073 has 24 divisors (see below), whose sum is σ = 94076653176. Its totient is φ = 79386278400.

The previous prime is 86440089031. The next prime is 86440089103. The reversal of 86440089073 is 37098004468.

It can be written as a sum of positive squares in 12 ways, for example, as 70972689649 + 15467399424 = 266407^2 + 124368^2 .

It is a de Polignac number, because none of the positive numbers 2k-86440089073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86440089973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35410533 + ... + 35412973.

It is an arithmetic number, because the mean of its divisors is an integer number (3919860549).

Almost surely, 286440089073 is an apocalyptic number.

It is an amenable number.

86440089073 is a deficient number, since it is larger than the sum of its proper divisors (7636564103).

86440089073 is a wasteful number, since it uses less digits than its factorization.

86440089073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 86440089073 in words is "eighty-six billion, four hundred forty million, eighty-nine thousand, seventy-three".

Divisors: 1 13 169 317 661 2441 4121 8593 31733 53573 111709 209537 412529 773797 1613501 2723981 10059361 20975513 35411753 130771693 272681669 511479817 6649237621 86440089073