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86782900005 = 3254801401689
BaseRepresentation
bin101000011010010101…
…0011111011100100101
322022000001100002120200
41100310222133130211
52410212410300010
6103511214421113
76161363323164
oct1206452373445
9268001302520
1086782900005
113389375926a
121499b501799
138250477309
1442b39413db
1523cdc01cc0
hex1434a9f725

86782900005 has 24 divisors (see below), whose sum is σ = 150455399640. Its totient is φ = 46274457600.

The previous prime is 86782899991. The next prime is 86782900013. The reversal of 86782900005 is 50000928768.

It can be written as a sum of positive squares in 4 ways, for example, as 253382724 + 86529517281 = 15918^2 + 294159^2 .

It is not a de Polignac number, because 86782900005 - 26 = 86782899941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15201 + ... + 416889.

It is an arithmetic number, because the mean of its divisors is an integer number (6268974985).

Almost surely, 286782900005 is an apocalyptic number.

It is an amenable number.

86782900005 is a deficient number, since it is larger than the sum of its proper divisors (63672499635).

86782900005 is a wasteful number, since it uses less digits than its factorization.

86782900005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406501 (or 406498 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 86782900005 in words is "eighty-six billion, seven hundred eighty-two million, nine hundred thousand, five".

Divisors: 1 3 5 9 15 45 4801 14403 24005 43209 72015 216045 401689 1205067 2008445 3615201 6025335 18076005 1928508889 5785526667 9642544445 17356580001 28927633335 86782900005