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9809412540 = 2235712302679
BaseRepresentation
bin10010010001010111…
…11100000110111100
3221022122010210021120
421020223330012330
5130042202200130
64301213430540
7465041426244
oct111053740674
927278123246
109809412540
114184180914
121a9919b450
13c0437a525
14690b10b24
153c62b2910
hex248afc1bc

9809412540 has 48 divisors (see below), whose sum is σ = 27853217280. Its totient is φ = 2578999360.

The previous prime is 9809412533. The next prime is 9809412559. The reversal of 9809412540 is 452149089.

9809412540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×98094125403 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9809412492 and 9809412501.

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, 1147080 + ... + 1155599.

It is an arithmetic number, because the mean of its divisors is an integer number (580275360).

Almost surely, 29809412540 is an apocalyptic number.

It is an amenable number.

9809412540 is an abundant number, since it is smaller than the sum of its proper divisors (18043804740).

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

9809412540 is a wasteful number, since it uses less digits than its factorization.

9809412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302762 (or 2302760 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 9809412540 is about 99042.4784625264. The cubic root of 9809412540 is about 2140.6598643484.

The spelling of 9809412540 in words is "nine billion, eight hundred nine million, four hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 2302679 4605358 6908037 9210716 11513395 13816074 23026790 27632148 34540185 46053580 69080370 138160740 163490209 326980418 490470627 653960836 817451045 980941254 1634902090 1961882508 2452353135 3269804180 4904706270 9809412540