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23071949280 = 2534519432179
BaseRepresentation
bin10101011111001100…
…100000000111100000
32012112220221110110000
4111133030200013200
5334222404334110
614333223540000
71444513222152
oct253714400740
965486843400
1023071949280
11986a571a86
12457a8ba600
132238c60cc3
14118c29aad2
159007c31c0
hex55f3201e0

23071949280 has 480 divisors, whose sum is σ = 87743779200. Its totient is φ = 5690539008.

The previous prime is 23071949269. The next prime is 23071949317. The reversal of 23071949280 is 8294917032.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10587231 + ... + 10589409.

It is an arithmetic number, because the mean of its divisors is an integer number (182799540).

Almost surely, 223071949280 is an apocalyptic number.

23071949280 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 23071949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43871889600).

23071949280 is an abundant number, since it is smaller than the sum of its proper divisors (64671829920).

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

23071949280 is a wasteful number, since it uses less digits than its factorization.

23071949280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 23071949280 in words is "twenty-three billion, seventy-one million, nine hundred forty-nine thousand, two hundred eighty".