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18426705552 = 243617196773
BaseRepresentation
bin10001001010010100…
…010011011010010000
31202120012002122000000
4101022110103122100
5300214214034202
612244244130000
71221426261423
oct211224233220
952505078000
1018426705552
1178a6438682
1236a3096900
131978762488
14c6b3839ba
1572ca9491c
hex44a513690

18426705552 has 560 divisors, whose sum is σ = 61379732160. Its totient is φ = 5321023488.

The previous prime is 18426705541. The next prime is 18426705581. The reversal of 18426705552 is 25550762481.

18426705552 is a `hidden beast` number, since 1 + 8 + 4 + 26 + 70 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18426705498 and 18426705507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 252420588 + ... + 252420660.

Almost surely, 218426705552 is an apocalyptic number.

18426705552 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 18426705552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689866080).

18426705552 is an abundant number, since it is smaller than the sum of its proper divisors (42953026608).

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

18426705552 is a wasteful number, since it uses less digits than its factorization.

18426705552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 18426705552 in words is "eighteen billion, four hundred twenty-six million, seven hundred five thousand, five hundred fifty-two".