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9341668368 = 2432172224473
BaseRepresentation
bin10001011001100111…
…01000110000010000
3220010000222220220100
420230303220300100
5123112431341433
64142544212400
7450331604514
oct105463506020
926100886810
109341668368
113a6414578a
12198860a100
13b5b4aa126
14648954144
1539a1bbb13
hex22cce8c10

9341668368 has 90 divisors (see below), whose sum is σ = 27772147754. Its totient is φ = 2930706432.

The previous prime is 9341668363. The next prime is 9341668373. The reversal of 9341668368 is 8638661439.

9341668368 is a `hidden beast` number, since 93 + 416 + 6 + 83 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (9341668363) and next prime (9341668373).

It can be written as a sum of positive squares in 3 ways, for example, as 4046486544 + 5295181824 = 63612^2 + 72768^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9341668361) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 70621 + ... + 153852.

Almost surely, 29341668368 is an apocalyptic number.

It is an amenable number.

9341668368 is an abundant number, since it is smaller than the sum of its proper divisors (18430479386).

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

9341668368 is a wasteful number, since it uses less digits than its factorization.

9341668368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224521 (or 224495 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 9341668368 is about 96652.3065839610. The cubic root of 9341668368 is about 2106.0797636475.

The spelling of 9341668368 in words is "nine billion, three hundred forty-one million, six hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 5202 6936 10404 13872 20808 41616 224473 448946 673419 897892 1346838 1795784 2020257 2693676 3591568 3816041 4040514 5387352 7632082 8081028 10774704 11448123 15264164 16162056 22896246 30528328 32324112 34344369 45792492 61056656 64872697 68688738 91584984 129745394 137377476 183169968 194618091 259490788 274754952 389236182 518981576 549509904 583854273 778472364 1037963152 1167708546 1556944728 2335417092 3113889456 4670834184 9341668368