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9243248704 = 261719134441
BaseRepresentation
bin10001001101111000…
…01100100001000000
3212212011210200111121
420212330030201000
5122412232424304
64125110522024
7445025213644
oct104674144100
925764720447
109243248704
113a13633618
12195b666314
13b43c9aa41
14639854c24
1539172a554
hex226f0c840

9243248704 has 56 divisors (see below), whose sum is σ = 19435544568. Its totient is φ = 4346511360.

The previous prime is 9243248627. The next prime is 9243248741. The reversal of 9243248704 is 4078423429.

It can be written as a sum of positive squares in 4 ways, for example, as 3760142400 + 5483106304 = 61320^2 + 74048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2079124 + ... + 2083564.

Almost surely, 29243248704 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 9243248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717772284).

9243248704 is an abundant number, since it is smaller than the sum of its proper divisors (10192295864).

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

9243248704 is a wasteful number, since it uses less digits than its factorization.

9243248704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6383 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 9243248704 is about 96141.8155851032. The cubic root of 9243248704 is about 2098.6573960796.

The spelling of 9243248704 in words is "nine billion, two hundred forty-three million, two hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1913 3826 4441 7652 8882 15304 17764 30608 32521 35528 61216 65042 71056 75497 122432 130084 142112 150994 260168 284224 301988 520336 603976 1040672 1207952 2081344 2415904 4831808 8495633 16991266 33982532 67965064 135930128 144425761 271860256 288851522 543720512 577703044 1155406088 2310812176 4621624352 9243248704