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23444444432 = 2419419184057
BaseRepresentation
bin10101110101011001…
…011101010100010000
32020111212212011201202
4111311121131110100
5341003234210212
614434211450332
71456655326643
oct256531352420
966455764652
1023444444432
119a40861112
1246635b69a8
132298192236
1411c5941a5a
159233520c2
hex57565d510

23444444432 has 40 divisors (see below), whose sum is σ = 47928703200. Its totient is φ = 11078698752.

The previous prime is 23444444407. The next prime is 23444444437.

23444444432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (23444444437) 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 7 ways as a sum of consecutive naturals, for example, 35348 + ... + 219404.

It is an arithmetic number, because the mean of its divisors is an integer number (1198217580).

Almost surely, 223444444432 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 23444444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964351600).

23444444432 is an abundant number, since it is smaller than the sum of its proper divisors (24484258768).

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

23444444432 is a wasteful number, since it uses less digits than its factorization.

23444444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184503 (or 184497 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

The spelling of 23444444432 in words is "twenty-three billion, four hundred forty-four million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 419 838 1676 3352 6704 7961 15922 31844 63688 127376 184057 368114 736228 1472456 2944912 3497083 6994166 13988332 27976664 55953328 77119883 154239766 308479532 616959064 1233918128 1465277777 2930555554 5861111108 11722222216 23444444432