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99876532140 = 2233571110922037
BaseRepresentation
bin101110100000100011…
…0101110111110101100
3100112210120022112012000
41131001012232332230
53114021343012030
6113514352412300
710134014341620
oct1350106567654
9315716275160
1099876532140
11393a2775950
1217434547090
139559070238
144b968c1180
1528e849b860
hex17411aefac

99876532140 has 384 divisors, whose sum is σ = 390971750400. Its totient is φ = 20562232320.

The previous prime is 99876532033. The next prime is 99876532177. The reversal of 99876532140 is 4123567899.

99876532140 is a `hidden beast` number, since 9 + 98 + 7 + 6 + 532 + 14 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4521202 + ... + 4543238.

It is an arithmetic number, because the mean of its divisors is an integer number (1018155600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅99876532140 = 199753064280, but 3⋅99876532140 = 299629596420 is not.

Almost surely, 299876532140 is an apocalyptic number.

99876532140 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 99876532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195485875200).

99876532140 is an abundant number, since it is smaller than the sum of its proper divisors (291095218260).

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

99876532140 is a wasteful number, since it uses less digits than its factorization.

99876532140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22182 (or 22174 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 99876532140 in words is "ninety-nine billion, eight hundred seventy-six million, five hundred thirty-two thousand, one hundred forty".