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9986332050 = 2345223472281
BaseRepresentation
bin10010100110011101…
…10101010110010010
3221202222001020020000
421103032311112102
5130423000111200
64330533430430
7502320264462
oct112316652622
927688036200
109986332050
11426502a092
121b2849b416
13c31c13226
146aa405ba2
153d6aad300
hex2533b5592

9986332050 has 240 divisors, whose sum is σ = 29582606592. Its totient is φ = 2491948800.

The previous prime is 9986332043. The next prime is 9986332061. The reversal of 9986332050 is 502336899.

9986332050 is a `hidden beast` number, since 9 + 9 + 8 + 633 + 2 + 0 + 5 + 0 = 666.

9986332050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 9986331987 and 9986332005.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 4376910 + ... + 4379190.

Almost surely, 29986332050 is an apocalyptic number.

9986332050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9986332050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791303296).

9986332050 is an abundant number, since it is smaller than the sum of its proper divisors (19596274542).

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

9986332050 is a wasteful number, since it uses less digits than its factorization.

9986332050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9986332050 is about 99931.6368824208. The cubic root of 9986332050 is about 2153.4526856423.

The spelling of 9986332050 in words is "nine billion, nine hundred eighty-six million, three hundred thirty-two thousand, fifty".