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86304074335 = 5172424114083
BaseRepresentation
bin101000001100000011…
…1111010101001011111
322020202200100020020121
41100120013322221133
52403222320334320
6103351511455411
76143460346033
oct1203007725137
9266680306217
1086304074335
1133668444476
1214887087567
1381a51c700b
14426a0dc1c3
1523a1b6c8aa
hex14181faa5f

86304074335 has 24 divisors (see below), whose sum is σ = 110049052176. Its totient is φ = 64961955840.

The previous prime is 86304074303. The next prime is 86304074341. The reversal of 86304074335 is 53347040368.

It is not a de Polignac number, because 86304074335 - 25 = 86304074303 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86304074291 and 86304074300.

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, 6121204 + ... + 6135286.

It is an arithmetic number, because the mean of its divisors is an integer number (4585377174).

Almost surely, 286304074335 is an apocalyptic number.

86304074335 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

86304074335 is a deficient number, since it is larger than the sum of its proper divisors (23744977841).

86304074335 is a wasteful number, since it uses less digits than its factorization.

86304074335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18363 (or 18346 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 86304074335 in words is "eighty-six billion, three hundred four million, seventy-four thousand, three hundred thirty-five".

Divisors: 1 5 17 85 289 1445 4241 14083 21205 70415 72097 239411 360485 1197055 1225649 4069987 6128245 20349935 59726003 298630015 1015342051 5076710255 17260814867 86304074335