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5704344672 = 253135977471
BaseRepresentation
bin1010101000000000…
…10110010001100000
3112201112201201210220
411110000112101200
543140303012142
62342011523040
7261234062325
oct52400262140
915645651726
105704344672
112467a54644
121132459480
136cba5c6a0
143c184ab4c
15235bd62ec
hex154016460

5704344672 has 96 divisors (see below), whose sum is σ = 16399272960. Its totient is φ = 1725411840.

The previous prime is 5704344647. The next prime is 5704344703. The reversal of 5704344672 is 2764434075.

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

It is a super-3 number, since 3×57043446723 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34897 + ... + 112367.

It is an arithmetic number, because the mean of its divisors is an integer number (170825760).

Almost surely, 25704344672 is an apocalyptic number.

5704344672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5704344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199636480).

5704344672 is an abundant number, since it is smaller than the sum of its proper divisors (10694928288).

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

5704344672 is a wasteful number, since it uses less digits than its factorization.

5704344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77556 (or 77548 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The square root of 5704344672 is about 75527.1121651027. The cubic root of 5704344672 is about 1786.7697295811.

The spelling of 5704344672 in words is "five billion, seven hundred four million, three hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 177 208 236 312 354 416 472 624 708 767 944 1248 1416 1534 1888 2301 2832 3068 4602 5664 6136 9204 12272 18408 24544 36816 73632 77471 154942 232413 309884 464826 619768 929652 1007123 1239536 1859304 2014246 2479072 3021369 3718608 4028492 4570789 6042738 7437216 8056984 9141578 12085476 13712367 16113968 18283156 24170952 27424734 32227936 36566312 48341904 54849468 59420257 73132624 96683808 109698936 118840514 146265248 178260771 219397872 237681028 356521542 438795744 475362056 713043084 950724112 1426086168 1901448224 2852172336 5704344672