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9989673152 = 262920632609
BaseRepresentation
bin10010100110110111…
…00101000011000000
3221210012022222100112
421103123211003000
5130424324020102
64331133210452
7502360551344
oct112333450300
927705288315
109989673152
114266a01328
121b29630a28
13c32812c04
146aaa35624
153d701d252
hex2536e50c0

9989673152 has 56 divisors (see below), whose sum is σ = 20524622400. Its totient is φ = 4818415616.

The previous prime is 9989673119. The next prime is 9989673203. The reversal of 9989673152 is 2513769899.

It is a junction number, because it is equal to n+sod(n) for n = 9989673091 and 9989673100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3827624 + ... + 3830232.

Almost surely, 29989673152 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 9989673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262311200).

9989673152 is an abundant number, since it is smaller than the sum of its proper divisors (10534949248).

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

9989673152 is a wasteful number, since it uses less digits than its factorization.

9989673152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713 (or 4703 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 59.

The square root of 9989673152 is about 99948.3524226388. The cubic root of 9989673152 is about 2153.6928172807.

The spelling of 9989673152 in words is "nine billion, nine hundred eighty-nine million, six hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 2063 2609 4126 5218 8252 10436 16504 20872 33008 41744 59827 66016 75661 83488 119654 132032 151322 166976 239308 302644 478616 605288 957232 1210576 1914464 2421152 3828928 4842304 5382367 10764734 21529468 43058936 86117872 156088643 172235744 312177286 344471488 624354572 1248709144 2497418288 4994836576 9989673152