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24132109344 = 253771895683
BaseRepresentation
bin10110011110011000…
…101100010000100000
32022021210211011122120
4112132120230100200
5343410304444334
615030334504240
71513005354630
oct263630542040
968253734576
1024132109344
11a263a45a22
124815965080
1323777a2c55
14124cdc86c0
159638d9949
hex59e62c420

24132109344 has 192 divisors, whose sum is σ = 74253957120. Its totient is φ = 6720215040.

The previous prime is 24132109333. The next prime is 24132109357. The reversal of 24132109344 is 44390123142.

It is a super-2 number, since 2×241321093442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4243527 + ... + 4249209.

It is an arithmetic number, because the mean of its divisors is an integer number (386739360).

Almost surely, 224132109344 is an apocalyptic number.

24132109344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24132109344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37126978560).

24132109344 is an abundant number, since it is smaller than the sum of its proper divisors (50121847776).

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

24132109344 is a wasteful number, since it uses less digits than its factorization.

24132109344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 24132109344 in words is "twenty-four billion, one hundred thirty-two million, one hundred nine thousand, three hundred forty-four".