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9449022968 = 2371160125523
BaseRepresentation
bin10001100110011010…
…01010010111111000
3220101112000002201122
420303031022113320
5123322422213333
64201341204412
7453104240630
oct106315122770
926345002648
109449022968
1140097aa8a0
1219b8560708
13b777c7368
14658cdb6c0
153a4825798
hex23334a5f8

9449022968 has 64 divisors (see below), whose sum is σ = 22126245120. Its totient is φ = 3675168000.

The previous prime is 9449022967. The next prime is 9449022997. The reversal of 9449022968 is 8692209449.

It is a happy number.

9449022968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9449022967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 357455 + ... + 382977.

It is an arithmetic number, because the mean of its divisors is an integer number (345722580).

Almost surely, 29449022968 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 9449022968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11063122560).

9449022968 is an abundant number, since it is smaller than the sum of its proper divisors (12677222152).

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

9449022968 is a wasteful number, since it uses less digits than its factorization.

9449022968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26148 (or 26144 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The square root of 9449022968 is about 97206.0850358659. The cubic root of 9449022968 is about 2114.1167553477.

The spelling of 9449022968 in words is "nine billion, four hundred forty-nine million, twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 601 616 1202 2404 4207 4808 6611 8414 13222 16828 25523 26444 33656 46277 51046 52888 92554 102092 178661 185108 204184 280753 357322 370216 561506 714644 1123012 1429288 1965271 2246024 3930542 7861084 15339323 15722168 30678646 61357292 107375261 122714584 168732553 214750522 337465106 429501044 674930212 859002088 1181127871 1349860424 2362255742 4724511484 9449022968