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23938467840 = 211345721931
BaseRepresentation
bin10110010010110110…
…000000100000000000
32021210022110011110000
4112102312000200000
5343011221432330
614555220240000
71505134422300
oct262266004000
967708404400
1023938467840
11a174706221
124780b40000
132346633b91
1412313bd600
159518d9560
hex592d80800

23938467840 has 1440 divisors, whose sum is σ = 108453945600. Its totient is φ = 5016453120.

The previous prime is 23938467811. The next prime is 23938467851. The reversal of 23938467840 is 4876483932.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 772208625 + ... + 772208655.

It is an arithmetic number, because the mean of its divisors is an integer number (75315240).

Almost surely, 223938467840 is an apocalyptic number.

23938467840 is a gapful number since it is divisible by the number (20) 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 23938467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54226972800).

23938467840 is an abundant number, since it is smaller than the sum of its proper divisors (84515477760).

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

23938467840 is a wasteful number, since it uses less digits than its factorization.

23938467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 23938467840 in words is "twenty-three billion, nine hundred thirty-eight million, four hundred sixty-seven thousand, eight hundred forty".