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201622666896 = 243272121323557
BaseRepresentation
bin1011101111000110100…
…1011011111010010000
3201021102102121201000100
42323301221123322100
511300410400320041
6232342453252400
720365253251200
oct2736151337220
9637372551010
10201622666896
1178564814922
12330ab034100
13160225601c1
149a897d6400
1553a0b4e6b6
hex2ef1a5be90

201622666896 has 180 divisors, whose sum is σ = 656957093052. Its totient is φ = 57556541952.

The previous prime is 201622666891. The next prime is 201622666897. The reversal of 201622666896 is 698666226102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3120339600 + 198502327296 = 55860^2 + 445536^2 .

It is not an unprimeable number, because it can be changed into a prime (201622666891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8547150 + ... + 8570706.

Almost surely, 2201622666896 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 201622666896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328478546526).

201622666896 is an abundant number, since it is smaller than the sum of its proper divisors (455334426156).

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

201622666896 is a wasteful number, since it uses less digits than its factorization.

201622666896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24798 (or 24782 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 201622666896 in words is "two hundred one billion, six hundred twenty-two million, six hundred sixty-six thousand, eight hundred ninety-six".