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18425305440 = 2533529147073
BaseRepresentation
bin10001001010001110…
…111101100101100000
31202120002110111102000
4101022032331211200
5300213334233230
612244154124000
71221411340443
oct211216754540
952502414360
1018425305440
1178a5671763
1236a2720600
1319783920c9
14c6b0db65a
1572c8b9b60
hex44a3bd960

18425305440 has 192 divisors, whose sum is σ = 66712766400. Its totient is φ = 4743954432.

The previous prime is 18425305439. The next prime is 18425305463. The reversal of 18425305440 is 4450352481.

It is a happy number.

18425305440 is a `hidden beast` number, since 1 + 84 + 2 + 5 + 30 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18425305395 and 18425305404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51744 + ... + 198816.

It is an arithmetic number, because the mean of its divisors is an integer number (347462325).

Almost surely, 218425305440 is an apocalyptic number.

18425305440 is a gapful number since it is divisible by the number (10) 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 18425305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33356383200).

18425305440 is an abundant number, since it is smaller than the sum of its proper divisors (48287460960).

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

18425305440 is a wasteful number, since it uses less digits than its factorization.

18425305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147126 (or 147112 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 18425305440 in words is "eighteen billion, four hundred twenty-five million, three hundred five thousand, four hundred forty".