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23182683048 = 2332745997387
BaseRepresentation
bin10101100101110010…
…111010101110101000
32012211122022022121200
4111211302322232220
5334434231324143
614352221204200
71450326361140
oct254562725650
965748268550
1023182683048
119917024998
1245aba00660
132255b92345
14119cc83920
1590a3981d3
hex565cbaba8

23182683048 has 48 divisors (see below), whose sum is σ = 71755925280. Its totient is φ = 6623623584.

The previous prime is 23182682993. The next prime is 23182683049. The reversal of 23182683048 is 84038628132.

23182683048 is a `hidden beast` number, since 2 + 318 + 26 + 8 + 304 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23182682994 and 23182683012.

It is not an unprimeable number, because it can be changed into a prime (23182683049) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22998190 + ... + 22999197.

It is an arithmetic number, because the mean of its divisors is an integer number (1494915110).

Almost surely, 223182683048 is an apocalyptic number.

23182683048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23182683048 is an abundant number, since it is smaller than the sum of its proper divisors (48573242232).

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

23182683048 is a wasteful number, since it uses less digits than its factorization.

23182683048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45997406 (or 45997399 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 23182683048 in words is "twenty-three billion, one hundred eighty-two million, six hundred eighty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 45997387 91994774 137992161 183989548 275984322 321981709 367979096 413976483 551968644 643963418 827952966 965945127 1103937288 1287926836 1655905932 1931890254 2575853672 2897835381 3311811864 3863780508 5795670762 7727561016 11591341524 23182683048