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20231644576 = 251113311271123
BaseRepresentation
bin10010110101111001…
…100110010110100000
31221012222102000212111
4102311321212112200
5312413300111301
613143322205104
71314234066343
oct226571462640
957188360774
1020231644576
118642266020
123b07653794
131ba5691630
14d9cd8445a
157d6276551
hex4b5e665a0

20231644576 has 192 divisors, whose sum is σ = 48727719936. Its totient is φ = 8143027200.

The previous prime is 20231644571. The next prime is 20231644633. The reversal of 20231644576 is 67544613202.

It is not an unprimeable number, because it can be changed into a prime (20231644571) 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 31 ways as a sum of consecutive naturals, for example, 18015151 + ... + 18016273.

It is an arithmetic number, because the mean of its divisors is an integer number (253790208).

Almost surely, 220231644576 is an apocalyptic number.

20231644576 is a gapful number since it is divisible by the number (26) 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 20231644576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24363859968).

20231644576 is an abundant number, since it is smaller than the sum of its proper divisors (28496075360).

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

20231644576 is a wasteful number, since it uses less digits than its factorization.

20231644576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 20231644576 in words is "twenty billion, two hundred thirty-one million, six hundred forty-four thousand, five hundred seventy-six".