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2124623328 = 25322131493
BaseRepresentation
bin111111010100011…
…0010110111100000
312111001212001021220
41332220302313200
513322400421303
6550454015040
7103436000052
oct17650626740
95431761256
102124623328
119a0326a53
124b3647480
1327b22c789
141622598d2
15c67cd053
hex7ea32de0

2124623328 has 24 divisors (see below), whose sum is σ = 5577136488. Its totient is φ = 708207744.

The previous prime is 2124623311. The next prime is 2124623329. The reversal of 2124623328 is 8233264212.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124623329) 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 3 ways as a sum of consecutive naturals, for example, 11065651 + ... + 11065842.

It is an arithmetic number, because the mean of its divisors is an integer number (232380687).

Almost surely, 22124623328 is an apocalyptic number.

It is an amenable number.

2124623328 is an abundant number, since it is smaller than the sum of its proper divisors (3452513160).

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

2124623328 is a wasteful number, since it uses less digits than its factorization.

2124623328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22131506 (or 22131498 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 2124623328 is about 46093.6365239281. The cubic root of 2124623328 is about 1285.5648277204.

The spelling of 2124623328 in words is "two billion, one hundred twenty-four million, six hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 22131493 44262986 66394479 88525972 132788958 177051944 265577916 354103888 531155832 708207776 1062311664 2124623328