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10443431504 = 2411671575641
BaseRepresentation
bin10011011100111101…
…00001111001010000
3222221211011021210102
421232132201321100
5132342004302004
64444142551532
7516540463112
oct115636417120
928854137712
1010443431504
11447a054730
1220355985a8
13ca582748c
14710dd13b2
15411ca011e
hex26e7a1e50

10443431504 has 80 divisors (see below), whose sum is σ = 22549765056. Its totient is φ = 4645555200.

The previous prime is 10443431489. The next prime is 10443431513. The reversal of 10443431504 is 40513434401.

It is a happy number.

10443431504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1848524 + ... + 1854164.

Almost surely, 210443431504 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 10443431504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274882528).

10443431504 is an abundant number, since it is smaller than the sum of its proper divisors (12106333552).

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

10443431504 is a wasteful number, since it uses less digits than its factorization.

10443431504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 10443431504 its reverse (40513434401), we get a palindrome (50956865905).

The spelling of 10443431504 in words is "ten billion, four hundred forty-three million, four hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 157 176 268 314 536 628 737 1072 1256 1474 1727 2512 2948 3454 5641 5896 6908 10519 11282 11792 13816 21038 22564 27632 42076 45128 62051 84152 90256 115709 124102 168304 231418 248204 377947 462836 496408 755894 885637 925672 992816 1511788 1771274 1851344 3023576 3542548 4157417 6047152 7085096 8314834 9742007 14170192 16629668 19484014 33259336 38968028 59337679 66518672 77936056 118675358 155872112 237350716 474701432 652714469 949402864 1305428938 2610857876 5221715752 10443431504