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9989003024 = 2471121331259
BaseRepresentation
bin10010100110110010…
…00001011100010000
3221210011001221002222
421103121001130100
5130424141044044
64331111000212
7502352060540
oct112331013420
927704057088
109989003024
114266593900
121b29369068
13c32639ba0
146aa8dd320
153d6e398ee
hex253641710

9989003024 has 360 divisors, whose sum is σ = 27512614080. Its totient is φ = 3417638400.

The previous prime is 9989003023. The next prime is 9989003051. The reversal of 9989003024 is 4203009899.

It is a Cunningham number, because it is equal to 999452-1.

It is a super-2 number, since 2×99890030242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (9989003023) 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 71 ways as a sum of consecutive naturals, for example, 169305107 + ... + 169305165.

It is an arithmetic number, because the mean of its divisors is an integer number (76423928).

Almost surely, 29989003024 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 9989003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13756307040).

9989003024 is an abundant number, since it is smaller than the sum of its proper divisors (17523611056).

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

9989003024 is a wasteful number, since it uses less digits than its factorization.

9989003024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 9989003024 is about 99944.9999949972. Note that the first 5 decimals coincide. The cubic root of 9989003024 is about 2153.6446581430.

The spelling of 9989003024 in words is "nine billion, nine hundred eighty-nine million, three thousand, twenty-four".