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9922082688 = 27357199229
BaseRepresentation
bin10010011110110011…
…01111011110000000
3221121111011000200000
421033121233132000
5130310023121223
64320320400000
7500610211530
oct111731573600
927544130600
109922082688
114231836641
121b0aa76000
13c2180905b
146a1a7d4c0
153d111b543
hex24f66f780

9922082688 has 384 divisors, whose sum is σ = 34157760000. Its totient is φ = 2808317952.

The previous prime is 9922082683. The next prime is 9922082711. The reversal of 9922082688 is 8862802299.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9922082683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43327758 + ... + 43327986.

It is an arithmetic number, because the mean of its divisors is an integer number (88952500).

Almost surely, 29922082688 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 9922082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17078880000).

9922082688 is an abundant number, since it is smaller than the sum of its proper divisors (24235677312).

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

9922082688 is a wasteful number, since it uses less digits than its factorization.

9922082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 9922082688 is about 99609.6515805572. The cubic root of 9922082688 is about 2148.8245016793.

The spelling of 9922082688 in words is "nine billion, nine hundred twenty-two million, eighty-two thousand, six hundred eighty-eight".