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21323634912 = 2537833671
BaseRepresentation
bin10011110110111111…
…001101100011100000
32001001002011220000000
4103312333031203200
5322132322304122
613443531300000
71353263622546
oct236677154340
961032156000
1021323634912
1190526aa578
1241712aa600
13201a999668
141063dd9d96
1584c0790ac
hex4f6fcd8e0

21323634912 has 192 divisors, whose sum is σ = 63737694720. Its totient is φ = 7020328320.

The previous prime is 21323634911. The next prime is 21323634929. The reversal of 21323634912 is 21943632312.

21323634912 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 634 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (21323634911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5806837 + ... + 5810507.

It is an arithmetic number, because the mean of its divisors is an integer number (331967160).

Almost surely, 221323634912 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 21323634912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31868847360).

21323634912 is an abundant number, since it is smaller than the sum of its proper divisors (42414059808).

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

21323634912 is an frugal number, since it uses more digits than its factorization.

21323634912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3759 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 21323634912 in words is "twenty-one billion, three hundred twenty-three million, six hundred thirty-four thousand, nine hundred twelve".