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201660426000 = 2432531117181331
BaseRepresentation
bin1011101111001111100…
…1011110011100010000
3201021112001200001202200
42323303321132130100
511301000032113000
6232350322443200
720366222224065
oct2736371363420
9637461601680
10201660426000
11785840648a0
12330bb803500
131602a320a77
149a90824c6c
1553a410c500
hex2ef3e5e710

201660426000 has 960 divisors, whose sum is σ = 820526982912. Its totient is φ = 45619200000.

The previous prime is 201660425963. The next prime is 201660426013. The reversal of 201660426000 is 624066102.

It is a happy number.

201660426000 is a `hidden beast` number, since 2 + 0 + 16 + 6 + 0 + 42 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 609245835 + ... + 609246165.

Almost surely, 2201660426000 is an apocalyptic number.

201660426000 is a gapful number since it is divisible by the number (20) 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 201660426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410263491456).

201660426000 is an abundant number, since it is smaller than the sum of its proper divisors (618866556912).

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

201660426000 is a wasteful number, since it uses less digits than its factorization.

201660426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 201660426000 in words is "two hundred one billion, six hundred sixty million, four hundred twenty-six thousand".