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9999954000 = 2432532919157
BaseRepresentation
bin10010101000000101…
…10011000001010000
3221210220200022000200
421110002303001100
5130434442012000
64332141415200
7502544130561
oct112402630120
927726608020
109999954000
1142717934a3
121b30b6a500
13c349a255a
146ac150168
153d7d9e500
hex2540b3050

9999954000 has 240 divisors, whose sum is σ = 36132754320. Its totient is φ = 2574566400.

The previous prime is 9999953987. The next prime is 9999954031. The reversal of 9999954000 is 4599999.

It is a happy number.

9999954000 is a `hidden beast` number, since 9 + 9 + 9 + 99 + 540 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6127132176 + 3872821824 = 78276^2 + 62232^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512422 + ... + 531578.

It is an arithmetic number, because the mean of its divisors is an integer number (150553143).

Almost surely, 29999954000 is an apocalyptic number.

9999954000 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 9999954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18066377160).

9999954000 is an abundant number, since it is smaller than the sum of its proper divisors (26132800320).

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

9999954000 is a wasteful number, since it uses less digits than its factorization.

9999954000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19215 (or 19196 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The square root of 9999954000 is about 99999.7699997355. The cubic root of 9999954000 is about 2154.4313865603.

The spelling of 9999954000 in words is "nine billion, nine hundred ninety-nine million, nine hundred fifty-four thousand".