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9928148940 = 22375613
BaseRepresentation
bin10010011111100001…
…11000011111001100
3221121220120020000000
421033300320133030
5130313101231230
64321054404300
7501012605433
oct111760703714
927556506000
109928148940
1142351aa276
121b10b00690
13c22b51258
146a27bc11a
153d1918b60
hex24fc387cc

9928148940 has 192 divisors, whose sum is σ = 31790048640. Its totient is φ = 2604104640.

The previous prime is 9928148933. The next prime is 9928148941. The reversal of 9928148940 is 498418299.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2745 × 1647 × 2196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928148941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162756510 + ... + 162756570.

It is an arithmetic number, because the mean of its divisors is an integer number (165573170).

Almost surely, 29928148940 is an apocalyptic number.

9928148940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9928148940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895024320).

9928148940 is an abundant number, since it is smaller than the sum of its proper divisors (21861899700).

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

9928148940 is an frugal number, since it uses more digits than its factorization.

9928148940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 9928148940 is about 99640.0970493305. The cubic root of 9928148940 is about 2149.2623350017.

The spelling of 9928148940 in words is "nine billion, nine hundred twenty-eight million, one hundred forty-eight thousand, nine hundred forty".