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23728481280 = 2103357231113
BaseRepresentation
bin10110000110010100…
…111110010000000000
32021020200022202001000
4112012110332100000
5342043442400110
614522315412000
71500004522500
oct260624762000
967220282030
1023728481280
11a077122209
124722754000
132311c9118a
14121155ba00
1593d25b1c0
hex58653e400

23728481280 has 1056 divisors, whose sum is σ = 102154798080. Its totient is φ = 5202247680.

The previous prime is 23728481267. The next prime is 23728481333. The reversal of 23728481280 is 8218482732.

23728481280 is a `hidden beast` number, since 23 + 72 + 8 + 481 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 209986504 + ... + 209986616.

Almost surely, 223728481280 is an apocalyptic number.

23728481280 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 23728481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51077399040).

23728481280 is an abundant number, since it is smaller than the sum of its proper divisors (78426316800).

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

23728481280 is a wasteful number, since it uses less digits than its factorization.

23728481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 23728481280 in words is "twenty-three billion, seven hundred twenty-eight million, four hundred eighty-one thousand, two hundred eighty".