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21433440192 = 2632361251317
BaseRepresentation
bin10011111101100010…
…000101011111000000
32001022201210120112020
4103331202011133000
5322343430041232
613502453001440
71356066143553
oct237542053700
961281716466
1021433440192
1190a968893a
1241a2023280
1320376641b8
14107482069a
15856a18e2c
hex4fd8857c0

21433440192 has 224 divisors, whose sum is σ = 60575122944. Its totient is φ = 6673920000.

The previous prime is 21433440191. The next prime is 21433440227. The reversal of 21433440192 is 29104433412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21433440191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67613218 + ... + 67613534.

It is an arithmetic number, because the mean of its divisors is an integer number (270424656).

Almost surely, 221433440192 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 21433440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30287561472).

21433440192 is an abundant number, since it is smaller than the sum of its proper divisors (39141682752).

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

21433440192 is a wasteful number, since it uses less digits than its factorization.

21433440192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 21433440192 in words is "twenty-one billion, four hundred thirty-three million, four hundred forty thousand, one hundred ninety-two".