Search a number
-
+
8830216512 = 263313393083
BaseRepresentation
bin10000011100101001…
…00110100101000000
3211210101121110212000
420032110212211000
5121041013412022
64020114104000
7431551413315
oct101624464500
924711543760
108830216512
1138214773a7
12186527b000
13aa95456b0
145daa5ad0c
1536a3406ac
hex20e526940

8830216512 has 112 divisors (see below), whose sum is σ = 27956134080. Its totient is φ = 2716982784.

The previous prime is 8830216501. The next prime is 8830216531. The reversal of 8830216512 is 2156120388.

It is a happy number.

It is a super-2 number, since 2×88302165122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 174078 + ... + 219005.

It is an arithmetic number, because the mean of its divisors is an integer number (249608340).

Almost surely, 28830216512 is an apocalyptic number.

It is an amenable number.

8830216512 is an abundant number, since it is smaller than the sum of its proper divisors (19125917568).

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

8830216512 is a wasteful number, since it uses less digits than its factorization.

8830216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393117 (or 393101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8830216512 is about 93969.2317303914. The cubic root of 8830216512 is about 2066.9205544951.

The spelling of 8830216512 in words is "eight billion, eight hundred thirty million, two hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 393083 786166 1179249 1572332 2358498 3144664 3537747 4716996 5110079 6289328 7075494 9433992 10220158 10613241 12578656 14150988 15330237 18867984 20440316 21226482 25157312 28301976 30660474 37735968 40880632 42452964 45990711 56603952 61320948 75471936 81761264 84905928 91981422 113207904 122641896 137972133 163522528 169811856 183962844 226415808 245283792 275944266 327045056 339623712 367925688 490567584 551888532 679247424 735851376 981135168 1103777064 1471702752 2207554128 2943405504 4415108256 8830216512