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10265120432 = 2472317472281
BaseRepresentation
bin10011000111101100…
…10100111010110000
3222111101122010222122
421203312110322300
5132010332323212
64414333053412
7512244040550
oct114366247260
928441563878
1010265120432
114398435a06
121ba5927268
13c778c5278
146d5457160
154012cc272
hex263d94eb0

10265120432 has 80 divisors (see below), whose sum is σ = 23742147072. Its totient is φ = 4203809280.

The previous prime is 10265120413. The next prime is 10265120447. The reversal of 10265120432 is 23402156201.

It is a happy number.

10265120432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4499132 + ... + 4501412.

Almost surely, 210265120432 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 10265120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871073536).

10265120432 is an abundant number, since it is smaller than the sum of its proper divisors (13477026640).

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

10265120432 is a wasteful number, since it uses less digits than its factorization.

10265120432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 10265120432 its reverse (23402156201), we get a palindrome (33667276633).

The spelling of 10265120432 in words is "ten billion, two hundred sixty-five million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 1747 2281 2576 3494 4562 6988 9124 12229 13976 15967 18248 24458 27952 31934 36496 40181 48916 52463 63868 80362 97832 104926 127736 160724 195664 209852 255472 281267 321448 367241 419704 562534 642896 734482 839408 1125068 1468964 2250136 2937928 3984907 4500272 5875856 7969814 15939628 27894349 31879256 55788698 63758512 91652861 111577396 183305722 223154792 366611444 446309584 641570027 733222888 1283140054 1466445776 2566280108 5132560216 10265120432