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99682957440 = 27325112954251
BaseRepresentation
bin101110011010110010…
…0010011100010000000
3100112022002001220121200
41130311210103202000
53113122314114230
6113443235421200
710126144105113
oct1346544234200
9315262056550
1099682957440
1139303481360
121739b754800
139527c256b1
144b78cd257a
1528d64b1160
hex1735913880

99682957440 has 384 divisors, whose sum is σ = 388466020800. Its totient is φ = 23331840000.

The previous prime is 99682957433. The next prime is 99682957471. The reversal of 99682957440 is 4475928699.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1810315 + ... + 1864565.

Almost surely, 299682957440 is an apocalyptic number.

99682957440 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 99682957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194233010400).

99682957440 is an abundant number, since it is smaller than the sum of its proper divisors (288783063360).

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

99682957440 is a wasteful number, since it uses less digits than its factorization.

99682957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54316 (or 54301 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 99682957440 in words is "ninety-nine billion, six hundred eighty-two million, nine hundred fifty-seven thousand, four hundred forty".