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23972281344 = 210331178823
BaseRepresentation
bin10110010100110110…
…111111110000000000
32021212200002001212000
4112110312333300000
5343043401000334
615002425104000
71506025013034
oct262466776000
967780061760
1023972281344
11a191800870
124790328000
13235064287b
141235aa21c4
15954868299
hex594dbfc00

23972281344 has 176 divisors, whose sum is σ = 77449309440. Its totient is φ = 7264235520.

The previous prime is 23972281331. The next prime is 23972281351. The reversal of 23972281344 is 44318227932.

23972281344 is a `hidden beast` number, since 2 + 397 + 228 + 1 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 23972281344.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 264717 + ... + 343539.

Almost surely, 223972281344 is an apocalyptic number.

23972281344 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 23972281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38724654720).

23972281344 is an abundant number, since it is smaller than the sum of its proper divisors (53477028096).

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

23972281344 is a wasteful number, since it uses less digits than its factorization.

23972281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78863 (or 78839 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 23972281344 in words is "twenty-three billion, nine hundred seventy-two million, two hundred eighty-one thousand, three hundred forty-four".