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9962092140 = 223571121317887
BaseRepresentation
bin10010100011100100…
…10111011001101100
3221201021102201022120
421101302113121230
5130400243422030
64324310112540
7501604246260
oct112162273154
927637381276
109962092140
114252383300
121b2034b750
13c29ba6ca0
146a70d60a0
153d48c1010
hex251c9766c

9962092140 has 576 divisors, whose sum is σ = 40000407552. Its totient is φ = 1796382720.

The previous prime is 9962092117. The next prime is 9962092163. The reversal of 9962092140 is 412902699.

9962092140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9962092117) and next prime (9962092163).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9962092092 and 9962092101.

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 191 ways as a sum of consecutive naturals, for example, 11230777 + ... + 11231663.

It is an arithmetic number, because the mean of its divisors is an integer number (69445152).

Almost surely, 29962092140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9962092140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20000203776).

9962092140 is an abundant number, since it is smaller than the sum of its proper divisors (30038315412).

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

9962092140 is a wasteful number, since it uses less digits than its factorization.

9962092140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 9962092140 is about 99810.2807329986. The cubic root of 9962092140 is about 2151.7089092207.

The spelling of 9962092140 in words is "nine billion, nine hundred sixty-two million, ninety-two thousand, one hundred forty".