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10438516304 = 24652407269
BaseRepresentation
bin10011011100010111…
…10001111001010000
3222221110220120101222
421232023301321100
5132334230010204
64443445344212
7516450632066
oct115613617120
928843816358
1010438516304
1144772a7887
122033a08068
13ca47c6188
147104b2036
1541162dabe
hex26e2f1e50

10438516304 has 10 divisors (see below), whose sum is σ = 20224625370. Its totient is φ = 5219258144.

The previous prime is 10438516301. The next prime is 10438516313. The reversal of 10438516304 is 40361583401.

10438516304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7387058704 + 3051457600 = 85948^2 + 55240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10438516301) by changing a digit.

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 as a sum of consecutive naturals, namely, 326203619 + ... + 326203650.

It is an arithmetic number, because the mean of its divisors is an integer number (2022462537).

Almost surely, 210438516304 is an apocalyptic number.

It is an amenable number.

10438516304 is a deficient number, since it is larger than the sum of its proper divisors (9786109066).

10438516304 is an equidigital number, since it uses as much as digits as its factorization.

10438516304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652407277 (or 652407271 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 10438516304 in words is "ten billion, four hundred thirty-eight million, five hundred sixteen thousand, three hundred four".

Divisors: 1 2 4 8 16 652407269 1304814538 2609629076 5219258152 10438516304