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18422785152 = 2734312432
BaseRepresentation
bin10001001010000101…
…010110010010000000
31202112220201110020000
4101022011112102000
5300212213111102
612244024120000
71221351042612
oct211205262200
952486643200
1018422785152
1178a4200182
1236a1906000
1319779bbc05
14c6aa42db2
1572c56d01c
hex44a156480

18422785152 has 360 divisors, whose sum is σ = 57999655395. Its totient is φ = 5804628480.

The previous prime is 18422785141. The next prime is 18422785169. The reversal of 18422785152 is 25158722481.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

18422785152 is a `hidden beast` number, since 1 + 8 + 422 + 78 + 5 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9211392576 + 9211392576 = 95976^2 + 95976^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=95976.

It is a junction number, because it is equal to n+sod(n) for n = 18422785098 and 18422785107.

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 44 ways as a sum of consecutive naturals, for example, 428436843 + ... + 428436885.

Almost surely, 218422785152 is an apocalyptic number.

18422785152 is a gapful number since it is divisible by the number (12) 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 18422785152

18422785152 is an abundant number, since it is smaller than the sum of its proper divisors (39576870243).

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

18422785152 is an frugal number, since it uses more digits than its factorization.

18422785152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 79 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The spelling of 18422785152 in words is "eighteen billion, four hundred twenty-two million, seven hundred eighty-five thousand, one hundred fifty-two".