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4446112704 = 263112391529
BaseRepresentation
bin1000010010000001…
…00100101111000000
3102110212010221000220
410021000210233000
533101201101304
62013103343040
7215115222465
oct41100445700
912425127026
104446112704
111981795310
12a40bb1a80
1355b189c27
143026bd66c
151b04e6ad9
hex109024bc0

4446112704 has 112 divisors (see below), whose sum is σ = 13391205120. Its totient is φ = 1288714240.

The previous prime is 4446112679. The next prime is 4446112711. The reversal of 4446112704 is 4072116444.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2812 + ... + 94340.

Almost surely, 24446112704 is an apocalyptic number.

4446112704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4446112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695602560).

4446112704 is an abundant number, since it is smaller than the sum of its proper divisors (8945092416).

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

4446112704 is a wasteful number, since it uses less digits than its factorization.

4446112704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91578 (or 91568 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4446112704 is about 66679.1774394376. The cubic root of 4446112704 is about 1644.3470712465.

The spelling of 4446112704 in words is "four billion, four hundred forty-six million, one hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 12144 16192 24288 48576 91529 183058 274587 366116 549174 732232 1006819 1098348 1464464 2013638 2105167 2196696 2928928 3020457 4027276 4210334 4393392 5857856 6040914 6315501 8054552 8420668 8786784 12081828 12631002 16109104 16841336 17573568 23156837 24163656 25262004 32218208 33682672 46313674 48327312 50524008 64436416 67365344 69470511 92627348 96654624 101048016 134730688 138941022 185254696 193309248 202096032 277882044 370509392 404192064 555764088 741018784 1111528176 1482037568 2223056352 4446112704