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26423545344 = 293729831021
BaseRepresentation
bin11000100110111101…
…110100111000000000
32112012111120011220120
4120212331310320000
5413103411422334
620045552140240
71623541300230
oct304675647000
975174504816
1026423545344
111022a447789
125155237680
13265143a041
1413c9467cc0
15a49b68949
hex626f74e00

26423545344 has 320 divisors, whose sum is σ = 84309603840. Its totient is φ = 7194378240.

The previous prime is 26423545333. The next prime is 26423545399. The reversal of 26423545344 is 44354532462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26423545296 and 26423545305.

It is a congruent number.

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, 25879554 + ... + 25880574.

It is an arithmetic number, because the mean of its divisors is an integer number (263467512).

Almost surely, 226423545344 is an apocalyptic number.

26423545344 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 26423545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42154801920).

26423545344 is an abundant number, since it is smaller than the sum of its proper divisors (57886058496).

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

26423545344 is a wasteful number, since it uses less digits than its factorization.

26423545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1145 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 42.

The spelling of 26423545344 in words is "twenty-six billion, four hundred twenty-three million, five hundred forty-five thousand, three hundred forty-four".