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84457475448 = 23343325725127
BaseRepresentation
bin100111010101000001…
…1101100110101111000
322001222222122021210020
41032222003230311320
52340432103203243
6102444344450440
76046635460563
oct1165203546570
9261888567706
1084457475448
1132900052395
1214450779a20
137c6c76c958
144132b754da
1522e49ac283
hex13aa0ecd78

84457475448 has 64 divisors (see below), whose sum is σ = 216128943360. Its totient is φ = 27488246016.

The previous prime is 84457475441. The next prime is 84457475449.

It is a happy number.

84457475448 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84457475391 and 84457475400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84457475441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3348661 + ... + 3373787.

It is an arithmetic number, because the mean of its divisors is an integer number (3377014740).

Almost surely, 284457475448 is an apocalyptic number.

It is an amenable number.

84457475448 is an abundant number, since it is smaller than the sum of its proper divisors (131671467912).

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

84457475448 is a wasteful number, since it uses less digits than its factorization.

84457475448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28436 (or 28432 counting only the distinct ones).

The product of its digits is 80281600, while the sum is 60.

The spelling of 84457475448 in words is "eighty-four billion, four hundred fifty-seven million, four hundred seventy-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 3257 6514 9771 13028 19542 25127 26056 39084 50254 75381 78168 100508 140051 150762 201016 280102 301524 420153 560204 603048 840306 1080461 1120408 1680612 2160922 3241383 3361224 4321844 6482766 8643688 12965532 25931064 81838639 163677278 245515917 327354556 491031834 654709112 982063668 1964127336 3519061477 7038122954 10557184431 14076245908 21114368862 28152491816 42228737724 84457475448