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20468118528 = 21033111331167
BaseRepresentation
bin10011000011111111…
…101011010000000000
31221211110101011011000
4103003333223100000
5313404314243103
613223010452000
71323135064644
oct230377532000
957743334130
1020468118528
1187537a0440
123b72894000
131c12679550
14dc253cc24
157ebdd7aa3
hex4c3feb400

20468118528 has 704 divisors, whose sum is σ = 73951395840. Its totient is φ = 5507481600.

The previous prime is 20468118509. The next prime is 20468118529. The reversal of 20468118528 is 82581186402.

20468118528 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 8 + 118 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20468118529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122563501 + ... + 122563667.

Almost surely, 220468118528 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 20468118528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36975697920).

20468118528 is an abundant number, since it is smaller than the sum of its proper divisors (53483277312).

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

20468118528 is a wasteful number, since it uses less digits than its factorization.

20468118528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 20468118528 in words is "twenty billion, four hundred sixty-eight million, one hundred eighteen thousand, five hundred twenty-eight".