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6472081395 = 3251361293619
BaseRepresentation
bin1100000011100010…
…00001111111110011
3121201001100210121100
412001301001333303
5101223323101040
62550115055443
7316245532653
oct60161017763
917631323540
106472081395
1128213595aa
1213075a1583
137c1b27380
144557b8363
1527d2d8b30
hex181c41ff3

6472081395 has 96 divisors (see below), whose sum is σ = 12341085120. Its totient is φ = 3118279680.

The previous prime is 6472081393. The next prime is 6472081439. The reversal of 6472081395 is 5931802746.

6472081395 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6472081395 - 21 = 6472081393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

6472081395 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6472081395.

It is not an unprimeable number, because it can be changed into a prime (6472081391) 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 in 95 ways as a sum of consecutive naturals, for example, 10455396 + ... + 10456014.

It is an arithmetic number, because the mean of its divisors is an integer number (128552970).

It is a 1-persistent number, because it is pandigital, but 2⋅6472081395 = 12944162790 is not.

Almost surely, 26472081395 is an apocalyptic number.

6472081395 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6472081395 is a deficient number, since it is larger than the sum of its proper divisors (5869003725).

6472081395 is a wasteful number, since it uses less digits than its factorization.

With its successor (6472081396) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (997).

6472081395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6472081395 is about 80449.2473240117. The cubic root of 6472081395 is about 1863.5797820865.

The spelling of 6472081395 in words is "six billion, four hundred seventy-two million, eighty-one thousand, three hundred ninety-five".

Divisors: 1 3 5 9 13 15 39 45 61 65 117 183 195 293 305 549 585 619 793 879 915 1465 1857 2379 2637 2745 3095 3809 3965 4395 5571 7137 8047 9285 11427 11895 13185 17873 19045 24141 27855 34281 35685 37759 40235 53619 57135 72423 89365 113277 120705 160857 171405 181367 188795 232349 268095 339831 362115 490867 544101 566385 697047 804285 906835 1161745 1472601 1632303 1699155 2091141 2357771 2454335 2720505 3485235 4417803 7073313 7363005 8161515 10455705 11063387 11788855 21219939 22089015 33190161 35366565 55316935 99570483 106099695 143824031 165950805 431472093 497852415 719120155 1294416279 2157360465 6472081395