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8085910632 = 233616917993
BaseRepresentation
bin1111000011111010…
…10011010001101000
3202212112001211010120
413201331103101220
5113024443120012
63414205043240
7404243051322
oct74175232150
922775054116
108085910632
11347a316378
121697b56520
139bb292907
14569c6c612
15324d1a58c
hex1e1f53468

8085910632 has 64 divisors (see below), whose sum is σ = 20578474560. Its totient is φ = 2646950400.

The previous prime is 8085910577. The next prime is 8085910633. The reversal of 8085910632 is 2360195808.

It is not an unprimeable number, because it can be changed into a prime (8085910633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007628 + ... + 1015620.

It is an arithmetic number, because the mean of its divisors is an integer number (321538665).

Almost surely, 28085910632 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 8085910632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289237280).

8085910632 is an abundant number, since it is smaller than the sum of its proper divisors (12492563928).

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

8085910632 is a wasteful number, since it uses less digits than its factorization.

8085910632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8750 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 8085910632 is about 89921.6916655820. The cubic root of 8085910632 is about 2007.1337439289.

The spelling of 8085910632 in words is "eight billion, eighty-five million, nine hundred ten thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 691 732 1382 1464 2073 2764 4146 5528 7993 8292 15986 16584 23979 31972 42151 47958 63944 84302 95916 126453 168604 191832 252906 337208 487573 505812 975146 1011624 1462719 1950292 2925438 3900584 5523163 5850876 11046326 11701752 16569489 22092652 33138978 44185304 66277956 132555912 336912943 673825886 1010738829 1347651772 2021477658 2695303544 4042955316 8085910632