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423552606255324 = 2233713316934493943
BaseRepresentation
bin110000001001110000000011…
…0101000111011100011011100
32001112200020022101011021022000
41200103200012220323203130
5421003441214200132244
64100453214154322300
7155133444266616540
oct14023400650734334
92045606271137260
10423552606255324
11112a58719268077
123b6073baa29390
1315244abb1a2380
1476840ac501a20
1533e78968ea169
hex1813806a3b8dc

423552606255324 has 384 divisors, whose sum is σ = 1352668316160000. Its totient is φ = 111610241335296.

The previous prime is 423552606255277. The next prime is 423552606255341.

423552606255324 is a `hidden beast` number, since 4 + 2 + 3 + 5 + 5 + 2 + 6 + 0 + 62 + 553 + 24 = 666.

423552606255324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107418868497 + ... + 107418872439.

It is an arithmetic number, because the mean of its divisors is an integer number (3522573740000).

Almost surely, 2423552606255324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423552606255324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676334158080000).

423552606255324 is an abundant number, since it is smaller than the sum of its proper divisors (929115709904676).

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

423552606255324 is a wasteful number, since it uses less digits than its factorization.

423552606255324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10586 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 423552606255324 in words is "four hundred twenty-three trillion, five hundred fifty-two billion, six hundred six million, two hundred fifty-five thousand, three hundred twenty-four".