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19445255424 = 2832719233189
BaseRepresentation
bin10010000111000001…
…110000110100000000
31212012011200022202100
4102013001300310000
5304310441133144
612533311150400
71255604641530
oct220701606400
955164608670
1019445255424
118279381231
123928215400
131aab7959ca
14d2675d4c0
1578c1dc269
hex487070d00

19445255424 has 864 divisors, whose sum is σ = 73466265600. Its totient is φ = 4817387520.

The previous prime is 19445255371. The next prime is 19445255461. The reversal of 19445255424 is 42455254491.

19445255424 is a `hidden beast` number, since 1 + 9 + 44 + 52 + 554 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19445255424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218485972 + ... + 218486060.

It is an arithmetic number, because the mean of its divisors is an integer number (85030400).

Almost surely, 219445255424 is an apocalyptic number.

19445255424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19445255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36733132800).

19445255424 is an abundant number, since it is smaller than the sum of its proper divisors (54021010176).

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

19445255424 is a wasteful number, since it uses less digits than its factorization.

19445255424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 19445255424 in words is "nineteen billion, four hundred forty-five million, two hundred fifty-five thousand, four hundred twenty-four".