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9990233352 = 23321123171521
BaseRepresentation
bin10010100110111011…
…01101110100001000
3221210020101102210200
421103131231310020
5130424444431402
64331153212200
7502365403521
oct112335556410
927706342720
109990233352
114267254200
121b29861060
13c3297aba8
146aab3d848
153d70ce21c
hex25376dd08

9990233352 has 288 divisors, whose sum is σ = 31191713280. Its totient is φ = 2882880000.

The previous prime is 9990233347. The next prime is 9990233467. The reversal of 9990233352 is 2533320999.

9990233352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9990233298 and 9990233307.

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 71 ways as a sum of consecutive naturals, for example, 19174852 + ... + 19175372.

It is an arithmetic number, because the mean of its divisors is an integer number (108304560).

Almost surely, 29990233352 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 9990233352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595856640).

9990233352 is an abundant number, since it is smaller than the sum of its proper divisors (21201479928).

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

9990233352 is a wasteful number, since it uses less digits than its factorization.

9990233352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The square root of 9990233352 is about 99951.1548307472. The cubic root of 9990233352 is about 2153.7330747261.

It can be divided in two parts, 9990 and 233352, that added together give a palindrome (243342).

The spelling of 9990233352 in words is "nine billion, nine hundred ninety million, two hundred thirty-three thousand, three hundred fifty-two".