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6293130768 = 243247219257
BaseRepresentation
bin1011101110001100…
…11000111000010000
3121020120122011111100
411313012120320100
5100342020141033
62520243344400
7311643505011
oct56706307020
917216564440
106293130768
11273a343321
121277682100
13793a30022
14439b15008
1526c73b513
hex177198e10

6293130768 has 60 divisors (see below), whose sum is σ = 17617659228. Its totient is φ = 2097039360.

The previous prime is 6293130743. The next prime is 6293130841. The reversal of 6293130768 is 8670313926.

6293130768 is a `hidden beast` number, since 629 + 3 + 13 + 0 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1653886224 + 4639244544 = 40668^2 + 68112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675196 + ... + 684452.

Almost surely, 26293130768 is an apocalyptic number.

It is an amenable number.

6293130768 is an abundant number, since it is smaller than the sum of its proper divisors (11324528460).

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

6293130768 is a wasteful number, since it uses less digits than its factorization.

6293130768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13992 (or 13983 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6293130768 is about 79329.2554358101. The cubic root of 6293130768 is about 1846.2432425237.

The spelling of 6293130768 in words is "six billion, two hundred ninety-three million, one hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4721 9257 9442 14163 18514 18884 27771 28326 37028 37768 42489 55542 56652 74056 75536 83313 84978 111084 113304 148112 166626 169956 222168 226608 333252 339912 444336 666504 679824 1333008 43702297 87404594 131106891 174809188 262213782 349618376 393320673 524427564 699236752 786641346 1048855128 1573282692 2097710256 3146565384 6293130768