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9243323568 = 24323117311969
BaseRepresentation
bin10001001101111000…
…11110110010110000
3212212011221111012100
420212330132302300
5122412242323233
64125112300400
7445025645133
oct104674366260
925764844170
109243323568
113a13684896
12195b6a1700
13b43cc5b3b
1463987421a
15391742813
hex226f1ecb0

9243323568 has 120 divisors (see below), whose sum is σ = 26859530880. Its totient is φ = 2964234240.

The previous prime is 9243323567. The next prime is 9243323627. The reversal of 9243323568 is 8653233429.

9243323568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9243323563) 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 23 ways as a sum of consecutive naturals, for example, 766288 + ... + 778256.

It is an arithmetic number, because the mean of its divisors is an integer number (223829424).

Almost surely, 29243323568 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 9243323568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429765440).

9243323568 is an abundant number, since it is smaller than the sum of its proper divisors (17616207312).

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

9243323568 is a wasteful number, since it uses less digits than its factorization.

9243323568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187 (or 12178 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 9243323568 is about 96142.2049258285. The cubic root of 9243323568 is about 2098.6630619614.

The spelling of 9243323568 in words is "nine billion, two hundred forty-three million, three hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 173 186 248 279 346 372 496 519 558 692 744 1038 1116 1384 1488 1557 2076 2232 2768 3114 4152 4464 5363 6228 8304 10726 11969 12456 16089 21452 23938 24912 32178 35907 42904 47876 48267 64356 71814 85808 95752 96534 107721 128712 143628 191504 193068 215442 257424 287256 371039 386136 430884 574512 742078 772272 861768 1113117 1484156 1723536 2070637 2226234 2968312 3339351 4141274 4452468 5936624 6211911 6678702 8282548 8904936 12423822 13357404 16565096 17809872 18635733 24847644 26714808 33130192 37271466 49695288 53429616 64189747 74542932 99390576 128379494 149085864 192569241 256758988 298171728 385138482 513517976 577707723 770276964 1027035952 1155415446 1540553928 2310830892 3081107856 4621661784 9243323568