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86000458437 = 3241701332473
BaseRepresentation
bin101000000011000000…
…1101101101011000101
322012222112000221112100
41100012001231223011
52402112104132222
6103301424142313
76133112556345
oct1200601555305
9265875027470
1086000458437
1133522020343
1214801467999
13815733143a
14423ba66d25
1523851974ac
hex140606dac5

86000458437 has 24 divisors (see below), whose sum is σ = 127434624408. Its totient is φ = 55855296000.

The previous prime is 86000458417. The next prime is 86000458469. The reversal of 86000458437 is 73485400068.

86000458437 is a `hidden beast` number, since 8 + 60 + 0 + 0 + 4 + 584 + 3 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54154881 + 85946303556 = 7359^2 + 293166^2 .

It is not a de Polignac number, because 86000458437 - 26 = 86000458373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86000458392 and 86000458401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86000458417) 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, 92433 + ... + 424905.

It is an arithmetic number, because the mean of its divisors is an integer number (5309776017).

Almost surely, 286000458437 is an apocalyptic number.

It is an amenable number.

86000458437 is a deficient number, since it is larger than the sum of its proper divisors (41434165971).

86000458437 is a wasteful number, since it uses less digits than its factorization.

86000458437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333221 (or 333218 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 86000458437 in words is "eighty-six billion, four hundred fifty-eight thousand, four hundred thirty-seven".

Divisors: 1 3 9 41 123 369 701 2103 6309 28741 86223 258669 332473 997419 2992257 13631393 40894179 122682537 233063573 699190719 2097572157 9555606493 28666819479 86000458437