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8012783616 = 21335712
BaseRepresentation
bin1110111011001100…
…10110000000000000
3202200102110120201120
413131212112000000
5112402233033431
63403033432240
7402364352115
oct73546260000
922612416646
108012783616
113442009a22
12167756b680
139a909a9a6
1456027490c
1531d6c3196
hex1dd996000

8012783616 has 84 divisors (see below), whose sum is σ = 21403603116. Its totient is φ = 2666250240.

The previous prime is 8012783599. The next prime is 8012783629. The reversal of 8012783616 is 6163872108.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 14032611 + ... + 14033181.

It is an arithmetic number, because the mean of its divisors is an integer number (254804799).

Almost surely, 28012783616 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 8012783616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701801558).

8012783616 is an abundant number, since it is smaller than the sum of its proper divisors (13390819500).

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

8012783616 is an frugal number, since it uses more digits than its factorization.

8012783616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 8012783616 is about 89514.1531602685. The cubic root of 8012783616 is about 2001.0647344031.

The spelling of 8012783616 in words is "eight billion, twelve million, seven hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 571 768 1024 1142 1536 1713 2048 2284 3072 3426 4096 4568 6144 6852 8192 9136 12288 13704 18272 24576 27408 36544 54816 73088 109632 146176 219264 292352 326041 438528 584704 652082 877056 978123 1169408 1304164 1754112 1956246 2338816 2608328 3508224 3912492 4677632 5216656 7016448 7824984 10433312 14032896 15649968 20866624 31299936 41733248 62599872 83466496 125199744 166932992 250399488 333865984 500798976 667731968 1001597952 1335463936 2003195904 2670927872 4006391808 8012783616