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9876542130 = 23257132694483
BaseRepresentation
bin10010011001011000…
…00001001010110010
3221111022110022202200
421030230001022302
5130211343322010
64312012324030
7466515136320
oct111454011262
927438408680
109876542130
114209061314
121ab7773616
13c15252690
146999c6d10
153cc122cc0
hex24cb012b2

9876542130 has 192 divisors, whose sum is σ = 31729501440. Its totient is φ = 2075632128.

The previous prime is 9876542119. The next prime is 9876542131. The reversal of 9876542130 is 312456789.

9876542130 is a `hidden beast` number, since 9 + 8 + 76 + 542 + 1 + 30 = 666.

9876542130 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

9876542130 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (9876542131) 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 95 ways as a sum of consecutive naturals, for example, 2200869 + ... + 2205351.

It is an arithmetic number, because the mean of its divisors is an integer number (165257820).

It is a 2-persistent number, because it is pandigital, and so is 2⋅9876542130 = 19753084260, but 3⋅9876542130 = 29629626390 is not.

Almost surely, 29876542130 is an apocalyptic number.

9876542130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9876542130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864750720).

9876542130 is an abundant number, since it is smaller than the sum of its proper divisors (21852959310).

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

9876542130 is a wasteful number, since it uses less digits than its factorization.

9876542130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9876542130 is about 99380.7935669664. The cubic root of 9876542130 is about 2145.5318875946.

The spelling of 9876542130 in words is "nine billion, eight hundred seventy-six million, five hundred forty-two thousand, one hundred thirty".