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23923081728 = 29357132113
BaseRepresentation
bin10110010001111011…
…010100001000000000
32021202020111110200000
4112101323110020000
5342443302103403
614553510400000
71504556560650
oct262173241000
967666443600
1023923081728
11a166a57427
124777960000
1323433a7880
14122d336360
1595039a7a3
hex591ed4200

23923081728 has 480 divisors, whose sum is σ = 88165773696. Its totient is φ = 6306398208.

The previous prime is 23923081667. The next prime is 23923081739. The reversal of 23923081728 is 82718032932.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11320800 + ... + 11322912.

Almost surely, 223923081728 is an apocalyptic number.

23923081728 is a gapful number since it is divisible by the number (28) 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 23923081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44082886848).

23923081728 is an abundant number, since it is smaller than the sum of its proper divisors (64242691968).

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

23923081728 is an equidigital number, since it uses as much as digits as its factorization.

23923081728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 23923081728 in words is "twenty-three billion, nine hundred twenty-three million, eighty-one thousand, seven hundred twenty-eight".