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84295840365 = 325111710017331
BaseRepresentation
bin100111010000001101…
…1000111001001101101
322001120201111101010200
41032200123013021231
52340114213342430
6102420332224113
76042633551352
oct1164033071155
9261521441120
1084295840365
1132827893580
121440660b039
137c45128ba9
1441194dc629
1522d56d0460
hex13a06c726d

84295840365 has 48 divisors (see below), whose sum is σ = 168772009536. Its totient is φ = 38466547200.

The previous prime is 84295840361. The next prime is 84295840411. The reversal of 84295840365 is 56304859248.

84295840365 is a `hidden beast` number, since 8 + 4 + 29 + 584 + 0 + 36 + 5 = 666.

It is not a de Polignac number, because 84295840365 - 22 = 84295840361 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84295840361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5000251 + ... + 5017080.

It is an arithmetic number, because the mean of its divisors is an integer number (3516083532).

Almost surely, 284295840365 is an apocalyptic number.

84295840365 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84295840365 is an abundant number, since it is smaller than the sum of its proper divisors (84476169171).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84295840365 is a wasteful number, since it uses less digits than its factorization.

84295840365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10017370 (or 10017367 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 84295840365 in words is "eighty-four billion, two hundred ninety-five million, eight hundred forty thousand, three hundred sixty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 10017331 30051993 50086655 90155979 110190641 150259965 170294627 330571923 450779895 510883881 550953205 851473135 991715769 1532651643 1652859615 1873240897 2554419405 4958578845 5619722691 7663258215 9366204485 16859168073 28098613455 84295840365