Search a number
-
+
5744913552 = 243373161283
BaseRepresentation
bin1010101100110110…
…00110110010010000
3112211101001211212000
411112123012302100
543231144213202
62350021234000
7262235650050
oct52633066220
915741054760
105744913552
112488943644
121143b62900
13707295141
143c6dab560
1523954b91c
hex1566c6c90

5744913552 has 160 divisors (see below), whose sum is σ = 19453992960. Its totient is φ = 1588429440.

The previous prime is 5744913539. The next prime is 5744913569. The reversal of 5744913552 is 2553194475.

5744913552 is a `hidden beast` number, since 5 + 7 + 4 + 4 + 91 + 3 + 552 = 666.

It is a super-3 number, since 3×57449135523 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5744913498 and 5744913507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63103 + ... + 124385.

It is an arithmetic number, because the mean of its divisors is an integer number (121587456).

Almost surely, 25744913552 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 5744913552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726996480).

5744913552 is an abundant number, since it is smaller than the sum of its proper divisors (13709079408).

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

5744913552 is a wasteful number, since it uses less digits than its factorization.

5744913552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61338 (or 61326 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 5744913552 is about 75795.2079751748. The cubic root of 5744913552 is about 1790.9955191816.

The spelling of 5744913552 in words is "five billion, seven hundred forty-four million, nine hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 23436 31248 46872 61283 93744 122566 183849 245132 367698 428981 490264 551547 735396 857962 980528 1103094 1286943 1470792 1654641 1715924 1899773 2206188 2573886 2941584 3309282 3431848 3799546 3860829 4412376 5147772 5699319 6618564 6863696 7599092 7721658 8824752 10295544 11398638 11582487 13237128 13298411 15198184 15443316 17097957 20591088 22797276 23164974 26474256 26596822 30396368 30886632 34195914 39895233 45594552 46329948 51293871 53193644 61773264 68391828 79790466 91189104 92659896 102587742 106387288 119685699 136783656 159580932 185319792 205175484 212774576 239371398 273567312 319161864 359057097 410350968 478742796 638323728 718114194 820701936 957485592 1436228388 1914971184 2872456776 5744913552