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9744428628 = 22341121714621
BaseRepresentation
bin10010001001101000…
…00010111001010100
3221011002212021010000
421010310002321110
5124424033204003
64250532531300
7463322163624
oct110464027124
927132767100
109744428628
114150526500
121a7b480b30
13bc3a76bcc
14686236884
153c07281a3
hex244d02e54

9744428628 has 180 divisors, whose sum is σ = 29649292596. Its totient is φ = 2778969600.

The previous prime is 9744428627. The next prime is 9744428633. The reversal of 9744428628 is 8268244479.

9744428628 is a `hidden beast` number, since 9 + 7 + 4 + 4 + 4 + 2 + 8 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2629843524 + 7114585104 = 51282^2 + 84348^2 .

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 (9744428627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 659158 + ... + 673778.

Almost surely, 29744428628 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 9744428628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14824646298).

9744428628 is an abundant number, since it is smaller than the sum of its proper divisors (19904863968).

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

9744428628 is a wasteful number, since it uses less digits than its factorization.

9744428628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14676 (or 14654 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 9744428628 is about 98713.8725205328. The cubic root of 9744428628 is about 2135.9223475747.

The spelling of 9744428628 in words is "nine billion, seven hundred forty-four million, four hundred twenty-eight thousand, six hundred twenty-eight".