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6431390496 = 253317437867
BaseRepresentation
bin1011111110101011…
…10011101100100000
3121121012210111012000
411333111303230200
5101132413443441
62542103004000
7315242626416
oct57725635440
917535714160
106431390496
112800396963
1212b5a39600
137b657b20b
144502252b6
1527994c2b6
hex17f573b20

6431390496 has 96 divisors (see below), whose sum is σ = 19861692480. Its totient is φ = 2017686528.

The previous prime is 6431390477. The next prime is 6431390507. The reversal of 6431390496 is 6940931346.

6431390496 is a `hidden beast` number, since 64 + 3 + 13 + 90 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 204246 + ... + 233621.

It is an arithmetic number, because the mean of its divisors is an integer number (206892630).

Almost surely, 26431390496 is an apocalyptic number.

It is an amenable number.

6431390496 is an abundant number, since it is smaller than the sum of its proper divisors (13430301984).

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

6431390496 is a wasteful number, since it uses less digits than its factorization.

6431390496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437903 (or 437889 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 6431390496 is about 80195.9506209634. The cubic root of 6431390496 is about 1859.6660378556. Note that the first 3 decimals are identical.

The spelling of 6431390496 in words is "six billion, four hundred thirty-one million, three hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 437867 875734 1313601 1751468 2627202 3502936 3940803 5254404 7005872 7443739 7881606 10508808 11822409 14011744 14887478 15763212 21017616 22331217 23644818 29774956 31526424 42035232 44662434 47289636 59549912 63052848 66993651 89324868 94579272 119099824 126105696 133987302 178649736 189158544 200980953 238199648 267974604 357299472 378317088 401961906 535949208 714598944 803923812 1071898416 1607847624 2143796832 3215695248 6431390496