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23303042928 = 2435114711593
BaseRepresentation
bin10101101100111110…
…000011011101110000
32020011000210020100000
4111230332003131300
5340211034333203
614412201030000
71453320411444
oct255476033560
966130706300
1023303042928
119978a62070
124624185300
132274ab3cc9
1411b0c54824
15915c204a3
hex56cf83770

23303042928 has 240 divisors, whose sum is σ = 75356176896. Its totient is φ = 6910686720.

The previous prime is 23303042909. The next prime is 23303042957. The reversal of 23303042928 is 82924030332.

23303042928 is a `hidden beast` number, since 2 + 330 + 30 + 4 + 292 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23303042892 and 23303042901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2004300 + ... + 2015892.

Almost surely, 223303042928 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 23303042928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37678088448).

23303042928 is an abundant number, since it is smaller than the sum of its proper divisors (52053133968).

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

23303042928 is a wasteful number, since it uses less digits than its factorization.

23303042928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 23303042928 in words is "twenty-three billion, three hundred three million, forty-two thousand, nine hundred twenty-eight".