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5717461344 = 25378508127
BaseRepresentation
bin1010101001100100…
…11000100101100000
3112202110102010111120
411110302120211200
543202132230334
62343201012240
7261453422340
oct52462304540
915673363446
105717461344
1124743a3371
121136924080
137016a2a2a
143c34a2d20
15236e27949
hex154c98960

5717461344 has 48 divisors (see below), whose sum is σ = 17152386048. Its totient is φ = 1633560192.

The previous prime is 5717461327. The next prime is 5717461349. The reversal of 5717461344 is 4431647175.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5717461296 and 5717461305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5717461349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4253392 + ... + 4254735.

It is an arithmetic number, because the mean of its divisors is an integer number (357341376).

Almost surely, 25717461344 is an apocalyptic number.

It is an amenable number.

5717461344 is an abundant number, since it is smaller than the sum of its proper divisors (11434924704).

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

5717461344 is a wasteful number, since it uses less digits than its factorization.

5717461344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508147 (or 8508139 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 5717461344 is about 75613.8965005772. The cubic root of 5717461344 is about 1788.1381913021.

It can be divided in two parts, 5717 and 461344, that added together give a triangular number (467061 = T966).

The spelling of 5717461344 in words is "five billion, seven hundred seventeen million, four hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 8508127 17016254 25524381 34032508 51048762 59556889 68065016 102097524 119113778 136130032 178670667 204195048 238227556 272260064 357341334 408390096 476455112 714682668 816780192 952910224 1429365336 1905820448 2858730672 5717461344