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23046046848 = 2732117923021
BaseRepresentation
bin10101011101101001…
…101100010010000000
32012111010012110222200
4111131221230102000
5334144241444343
614330500433200
71444050110646
oct253551542200
965433173880
1023046046848
119856990110
1245720a8800
132233792116
141188a77196
158ed3a84d3
hex55da6c480

23046046848 has 192 divisors, whose sum is σ = 73265212800. Its totient is φ = 6894950400.

The previous prime is 23046046843. The next prime is 23046046861. The reversal of 23046046848 is 84864064032.

23046046848 is a `hidden beast` number, since 2 + 30 + 4 + 604 + 6 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×230460468482 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23046046841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989578 + ... + 1012598.

It is an arithmetic number, because the mean of its divisors is an integer number (381589650).

Almost surely, 223046046848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23046046848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36632606400).

23046046848 is an abundant number, since it is smaller than the sum of its proper divisors (50219165952).

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

23046046848 is a wasteful number, since it uses less digits than its factorization.

23046046848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23131 (or 23116 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 23046046848 in words is "twenty-three billion, forty-six million, forty-six thousand, eight hundred forty-eight".