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10043242432 = 265914591823
BaseRepresentation
bin10010101101001111…
…11011011111000000
3221220221010120120221
421112213323133000
5131032032224212
64340325312424
7503611103116
oct112647733700
927827116527
1010043242432
11429416a763
121b43565714
13c4094ab02
146b3bbbab6
153dbaa0807
hex2569fb7c0

10043242432 has 56 divisors (see below), whose sum is σ = 20292364800. Its totient is φ = 4930419456.

The previous prime is 10043242427. The next prime is 10043242441. The reversal of 10043242432 is 23424234001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10043242397 and 10043242406.

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 7 ways as a sum of consecutive naturals, for example, 5508273 + ... + 5510095.

Almost surely, 210043242432 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 10043242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146182400).

10043242432 is an abundant number, since it is smaller than the sum of its proper divisors (10249122368).

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

10043242432 is a wasteful number, since it uses less digits than its factorization.

10043242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10043242432 its reverse (23424234001), we get a palindrome (33467476433).

The spelling of 10043242432 in words is "ten billion, forty-three million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1459 1823 1888 2918 3646 3776 5836 7292 11672 14584 23344 29168 46688 58336 86081 93376 107557 116672 172162 215114 344324 430228 688648 860456 1377296 1720912 2659757 2754592 3441824 5319514 5509184 6883648 10639028 21278056 42556112 85112224 156925663 170224448 313851326 627702652 1255405304 2510810608 5021621216 10043242432