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84374474743701 = 348934493393461
BaseRepresentation
bin10011001011110011110110…
…100110000101111110010101
3102001202010021012211201120000
4103023303312212011332111
542024342411013244301
6455241033144001513
723525566065665562
oct2313636646057625
9361663235751500
1084374474743701
112498001739a26a
129568408a60299
13381062bca691c
1416b9a64061869
159b4b91463786
hex4cbcf6985f95

84374474743701 has 40 divisors (see below), whose sum is σ = 127494064071000. Its totient is φ = 55601489180160.

The previous prime is 84374474743681. The next prime is 84374474743703. The reversal of 84374474743701 is 10734747447348.

84374474743701 is a `hidden beast` number, since 8 + 43 + 7 + 447 + 47 + 43 + 70 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1289244431601 + 83085230312100 = 1135449^2 + 9115110^2 .

It is not a de Polignac number, because 84374474743701 - 211 = 84374474741653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84374474743703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23167111 + ... + 26560571.

It is an arithmetic number, because the mean of its divisors is an integer number (3187351601775).

Almost surely, 284374474743701 is an apocalyptic number.

84374474743701 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

84374474743701 is a deficient number, since it is larger than the sum of its proper divisors (43119589327299).

84374474743701 is a wasteful number, since it uses less digits than its factorization.

84374474743701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397011 (or 3397002 counting only the distinct ones).

The product of its (nonzero) digits is 177020928, while the sum is 63.

The spelling of 84374474743701 in words is "eighty-four trillion, three hundred seventy-four billion, four hundred seventy-four million, seven hundred forty-three thousand, seven hundred one".

Divisors: 1 3 9 27 81 89 267 801 2403 3449 7209 10347 31041 93123 279369 306961 920883 2762649 3393461 8287947 10180383 24863841 30541149 91623447 274870341 302018029 906054087 2718162261 8154486783 11704046989 24463460349 35112140967 105336422901 316009268703 948027806109 1041660182021 3124980546063 9374941638189 28124824914567 84374474743701