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10266404720 = 24511213174799
BaseRepresentation
bin10011000111110110…
…01110011101110000
3222111111001101200212
421203323032131300
5132011144422340
64414420403252
7512261000045
oct114373163560
928444041625
1010266404720
114399132900
121ba6246528
13c77c549c0
146d56ad1cc
15401482a65
hex263ece770

10266404720 has 240 divisors, whose sum is σ = 29923084800. Its totient is φ = 3242680320.

The previous prime is 10266404719. The next prime is 10266404723. The reversal of 10266404720 is 2740466201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10266404723) by changing a digit.

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, 2136881 + ... + 2141679.

It is an arithmetic number, because the mean of its divisors is an integer number (124679520).

Almost surely, 210266404720 is an apocalyptic number.

10266404720 is a gapful number since it is divisible by the number (10) 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 10266404720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961542400).

10266404720 is an abundant number, since it is smaller than the sum of its proper divisors (19656680080).

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

10266404720 is a wasteful number, since it uses less digits than its factorization.

10266404720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 10266404720 in words is "ten billion, two hundred sixty-six million, four hundred four thousand, seven hundred twenty".