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9748484460 = 223551113383
BaseRepresentation
bin10010001010000111…
…00001000101101100
3221011101111022200000
421011003201011230
5124431103000320
64251155504300
7463401515331
oct110503410554
927141438600
109748484460
114152846730
121a808b8090
13bc4867000
146869b0988
153c0c79c90
hex2450e116c

9748484460 has 576 divisors, whose sum is σ = 36676523520. Its totient is φ = 2155196160.

The previous prime is 9748484401. The next prime is 9748484467. The reversal of 9748484460 is 644848479.

It is a super-2 number, since 2×97484844602 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9748484397 and 9748484406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9748484467) 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 191 ways as a sum of consecutive naturals, for example, 117451579 + ... + 117451661.

It is an arithmetic number, because the mean of its divisors is an integer number (63674520).

Almost surely, 29748484460 is an apocalyptic number.

9748484460 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 9748484460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338261760).

9748484460 is an abundant number, since it is smaller than the sum of its proper divisors (26928039060).

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

9748484460 is a wasteful number, since it uses less digits than its factorization.

9748484460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

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

The square root of 9748484460 is about 98734.4137573116. The cubic root of 9748484460 is about 2136.2186447690.

The spelling of 9748484460 in words is "nine billion, seven hundred forty-eight million, four hundred eighty-four thousand, four hundred sixty".