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21226793616 = 24327193133541
BaseRepresentation
bin10011110001001101…
…110010101010010000
32000210022221211201100
4103301031302222100
5321433024343431
613430151504400
71351006524450
oct236115625220
960708854640
1021226793616
119002a76246
124144988100
1320038c0812
1410551cbd60
158437ea4e6
hex4f1372a90

21226793616 has 240 divisors, whose sum is σ = 71713882240. Its totient is φ = 5725624320.

The previous prime is 21226793569. The next prime is 21226793639. The reversal of 21226793616 is 61639762212.

21226793616 is a `hidden beast` number, since 2 + 1 + 2 + 26 + 7 + 9 + 3 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5992806 + ... + 5996346.

Almost surely, 221226793616 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 21226793616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35856941120).

21226793616 is an abundant number, since it is smaller than the sum of its proper divisors (50487088624).

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

21226793616 is a wasteful number, since it uses less digits than its factorization.

21226793616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3885 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 21226793616 in words is "twenty-one billion, two hundred twenty-six million, seven hundred ninety-three thousand, six hundred sixteen".