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9606022328 = 237331112927
BaseRepresentation
bin10001111001001000…
…00100010010111000
3220210110102111100202
420330210010102320
5124133120203303
64225110221332
7460021562000
oct107444042270
926713374322
109606022328
11408a392831
121a41054848
13ba11a70a6
14671ac9000
153b34d8c88
hex23c9044b8

9606022328 has 64 divisors (see below), whose sum is σ = 21682176000. Its totient is φ = 3984029280.

The previous prime is 9606022277. The next prime is 9606022339. The reversal of 9606022328 is 8232206069.

It is a junction number, because it is equal to n+sod(n) for n = 9606022291 and 9606022300.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28601 + ... + 141527.

It is an arithmetic number, because the mean of its divisors is an integer number (338784000).

Almost surely, 29606022328 is an apocalyptic number.

9606022328 is a gapful number since it is divisible by the number (98) 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 9606022328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841088000).

9606022328 is an abundant number, since it is smaller than the sum of its proper divisors (12076153672).

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

9606022328 is a wasteful number, since it uses less digits than its factorization.

9606022328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112985 (or 112967 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 9606022328 is about 98010.3174568882. The cubic root of 9606022328 is about 2125.7614675801.

The spelling of 9606022328 in words is "nine billion, six hundred six million, twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 343 392 434 686 868 1372 1519 1736 2744 3038 6076 10633 12152 21266 42532 85064 112927 225854 451708 790489 903416 1580978 3161956 3500737 5533423 6323912 7001474 11066846 14002948 22133692 24505159 28005896 38733961 44267384 49010318 77467922 98020636 154935844 171536113 196041272 309871688 343072226 686144452 1200752791 1372288904 2401505582 4803011164 9606022328