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10416430304 = 25746501921
BaseRepresentation
bin10011011001101111…
…00001110011100000
3222212221100111002222
421230313201303200
5132313101232204
64441340130212
7516062124320
oct115467416340
928787314088
1010416430304
114465892295
122028536968
13ca0062437
1470b5a3280
1540e719abe
hex26cde1ce0

10416430304 has 24 divisors (see below), whose sum is σ = 23436968688. Its totient is φ = 4464184320.

The previous prime is 10416430267. The next prime is 10416430351. The reversal of 10416430304 is 40303461401.

10416430304 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 3 ways as a sum of consecutive naturals, for example, 23250737 + ... + 23251184.

It is an arithmetic number, because the mean of its divisors is an integer number (976540362).

Almost surely, 210416430304 is an apocalyptic number.

10416430304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10416430304 is an abundant number, since it is smaller than the sum of its proper divisors (13020538384).

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

10416430304 is an equidigital number, since it uses as much as digits as its factorization.

10416430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46501938 (or 46501930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10416430304 its reverse (40303461401), we get a palindrome (50719891705).

The spelling of 10416430304 in words is "ten billion, four hundred sixteen million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 46501921 93003842 186007684 325513447 372015368 651026894 744030736 1302053788 1488061472 2604107576 5208215152 10416430304