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9850991040 = 2633511103651
BaseRepresentation
bin10010010110010101…
…00011000111000000
3221102112101012021000
421023022203013000
5130133323203130
64305300532000
7466055020332
oct111312430700
927375335230
109850991040
1141a569a410
121aab0b1000
13c0cb776a7
14696455452
153c9c77260
hex24b2a31c0

9850991040 has 224 divisors, whose sum is σ = 37911755520. Its totient is φ = 2388096000.

The previous prime is 9850990939. The next prime is 9850991041. The reversal of 9850991040 is 401990589.

9850991040 is a `hidden beast` number, since 98 + 509 + 9 + 10 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9850991041) 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 31 ways as a sum of consecutive naturals, for example, 43215 + ... + 146865.

Almost surely, 29850991040 is an apocalyptic number.

9850991040 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 9850991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18955877760).

9850991040 is an abundant number, since it is smaller than the sum of its proper divisors (28060764480).

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

9850991040 is a wasteful number, since it uses less digits than its factorization.

9850991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103688 (or 103672 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 9850991040 is about 99252.1588682080. The cubic root of 9850991040 is about 2143.6800916834.

The spelling of 9850991040 in words is "nine billion, eight hundred fifty million, nine hundred ninety-one thousand, forty".