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231048382824 = 23337152809777
BaseRepresentation
bin1101011100101110001…
…1101000100101101000
3211002101011021221202000
43113023203220211220
512241141341222244
6254050412411000
722456410564360
oct3271343504550
9732334257660
10231048382824
1189a94874816
1238941776a60
1318a3196172c
14b27b86d9a0
15602413a169
hex35cb8e8968

231048382824 has 64 divisors (see below), whose sum is σ = 733486934400. Its totient is φ = 66013823232.

The previous prime is 231048382813. The next prime is 231048382837. The reversal of 231048382824 is 428283840132.

231048382824 is a `hidden beast` number, since 2 + 3 + 10 + 483 + 82 + 82 + 4 = 666.

231048382824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2310483828243 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231048382824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76403377 + ... + 76406400.

It is an arithmetic number, because the mean of its divisors is an integer number (11460733350).

Almost surely, 2231048382824 is an apocalyptic number.

231048382824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231048382824 is an abundant number, since it is smaller than the sum of its proper divisors (502438551576).

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

231048382824 is a wasteful number, since it uses less digits than its factorization.

231048382824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152809799 (or 152809789 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 231048382824 in words is "two hundred thirty-one billion, forty-eight million, three hundred eighty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 152809777 305619554 458429331 611239108 916858662 1069668439 1222478216 1375287993 1833717324 2139336878 2750575986 3209005317 3667434648 4125863979 4278673756 5501151972 6418010634 8251727958 8557347512 9627015951 11002303944 12836021268 16503455916 19254031902 25672042536 28881047853 33006911832 38508063804 57762095706 77016127608 115524191412 231048382824