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9393265952 = 2571723910321
BaseRepresentation
bin10001011111110000…
…11101110100100000
3220020122002100110222
420233320131310200
5123214134002302
64152030142212
7451526305010
oct105770356440
926218070428
109393265952
113a90287814
1219a1951968
13b690a4745
14651745c40
1539e9aeda2
hex22fe1dd20

9393265952 has 96 divisors (see below), whose sum is σ = 22473884160. Its totient is φ = 3772661760.

The previous prime is 9393265951. The next prime is 9393266023. The reversal of 9393265952 is 2595623939.

9393265952 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 = 9393265894 and 9393265903.

It is not an unprimeable number, because it can be changed into a prime (9393265951) 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, 904952 + ... + 915272.

It is an arithmetic number, because the mean of its divisors is an integer number (234102960).

Almost surely, 29393265952 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 9393265952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11236942080).

9393265952 is an abundant number, since it is smaller than the sum of its proper divisors (13080618208).

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

9393265952 is a wasteful number, since it uses less digits than its factorization.

9393265952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10586 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 53.

The square root of 9393265952 is about 96918.8627254777. The cubic root of 9393265952 is about 2109.9502059931.

The spelling of 9393265952 in words is "nine billion, three hundred ninety-three million, two hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 239 272 476 478 544 952 956 1673 1904 1912 3346 3808 3824 4063 6692 7648 8126 10321 13384 16252 20642 26768 28441 32504 41284 53536 56882 65008 72247 82568 113764 130016 144494 165136 175457 227528 288988 330272 350914 455056 577976 701828 910112 1155952 1228199 1403656 2311904 2456398 2466719 2807312 4912796 4933438 5614624 9825592 9866876 17267033 19651184 19733752 34534066 39302368 39467504 41934223 69068132 78935008 83868446 138136264 167736892 276272528 293539561 335473784 552545056 587079122 670947568 1174158244 1341895136 2348316488 4696632976 9393265952