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9928386384 = 2437241122609
BaseRepresentation
bin10010011111100011…
…10010011101010000
3221121221000021201020
421033301302131100
5130313131331014
64321103435440
7501014614620
oct111761623520
927557007636
109928386384
114235351704
121b10bb5b80
13c22c05357
146a2840880
153d19641a9
hex24fc72750

9928386384 has 80 divisors (see below), whose sum is σ = 29434247040. Its totient is φ = 2824888320.

The previous prime is 9928386373. The next prime is 9928386409. The reversal of 9928386384 is 4836838299.

9928386384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19672 + ... + 142280.

It is an arithmetic number, because the mean of its divisors is an integer number (367928088).

Almost surely, 29928386384 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 9928386384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14717123520).

9928386384 is an abundant number, since it is smaller than the sum of its proper divisors (19505860656).

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

9928386384 is a wasteful number, since it uses less digits than its factorization.

9928386384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122868 (or 122862 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The square root of 9928386384 is about 99641.2885504799. The cubic root of 9928386384 is about 2149.2794689569.

The spelling of 9928386384 in words is "nine billion, nine hundred twenty-eight million, three hundred eighty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 336 482 723 964 1446 1687 1928 2892 3374 3856 5061 5784 6748 10122 11568 13496 20244 26992 40488 80976 122609 245218 367827 490436 735654 858263 980872 1471308 1716526 1961744 2574789 2942616 3433052 5149578 5885232 6866104 10299156 13732208 20598312 29548769 41196624 59097538 88646307 118195076 177292614 206841383 236390152 354585228 413682766 472780304 620524149 709170456 827365532 1241048298 1418340912 1654731064 2482096596 3309462128 4964193192 9928386384