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9928959744 = 283113121223
BaseRepresentation
bin10010011111100111…
…11110011100000000
3221121222002102012210
421033303332130000
5130313303202434
64321124022120
7501022523334
oct111763763400
927558072183
109928959744
114235703460
121b11231940
13c23076312
146a294d7c4
153d1a28ee9
hex24fcfe700

9928959744 has 216 divisors, whose sum is σ = 29812116096. Its totient is φ = 2909337600.

The previous prime is 9928959721. The next prime is 9928959749. The reversal of 9928959744 is 4479598299.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928959749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8117917 + ... + 8119139.

It is an arithmetic number, because the mean of its divisors is an integer number (138019056).

Almost surely, 29928959744 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 9928959744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14906058048).

9928959744 is an abundant number, since it is smaller than the sum of its proper divisors (19883156352).

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

9928959744 is a wasteful number, since it uses less digits than its factorization.

9928959744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1270 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 66.

The square root of 9928959744 is about 99644.1656295039. The cubic root of 9928959744 is about 2149.3208414790.

The spelling of 9928959744 in words is "nine billion, nine hundred twenty-eight million, nine hundred fifty-nine thousand, seven hundred forty-four".