Search a number
-
+
5739337344 = 2731336803
BaseRepresentation
bin1010101100001011…
…10101011010000000
3112210222120112201210
411112011311122000
543223232243334
62345301530120
7262140363636
oct52605653200
915728515653
105739337344
112485785104
121142113940
13706092000
143c6359356
15238ce95e9
hex156175680

5739337344 has 128 divisors (see below), whose sum is σ = 16517390400. Its totient is φ = 1765690368.

The previous prime is 5739337337. The next prime is 5739337349. The reversal of 5739337344 is 4437339375.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5739337293 and 5739337302.

It is not an unprimeable number, because it can be changed into a prime (5739337349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840247 + ... + 847049.

Almost surely, 25739337344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5739337344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258695200).

5739337344 is an abundant number, since it is smaller than the sum of its proper divisors (10778053056).

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

5739337344 is an equidigital number, since it uses as much as digits as its factorization.

5739337344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6821 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 48.

The square root of 5739337344 is about 75758.4143445466. The cubic root of 5739337344 is about 1790.4158645925.

The spelling of 5739337344 in words is "five billion, seven hundred thirty-nine million, three hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2197 2496 2704 4056 4394 4992 5408 6591 6803 8112 8788 10816 13182 13606 16224 17576 20409 21632 26364 27212 32448 35152 40818 52728 54424 64896 70304 81636 88439 105456 108848 140608 163272 176878 210912 217696 265317 281216 326544 353756 421824 435392 530634 653088 707512 843648 870784 1061268 1149707 1306176 1415024 2122536 2299414 2612352 2830048 3449121 4245072 4598828 5660096 6898242 8490144 9197656 11320192 13796484 14946191 16980288 18395312 27592968 29892382 33960576 36790624 44838573 55185936 59784764 73581248 89677146 110371872 119569528 147162496 179354292 220743744 239139056 358708584 441487488 478278112 717417168 956556224 1434834336 1913112448 2869668672 5739337344