Search a number
-
+
5744545488 = 24331110111969
BaseRepresentation
bin1010101100110011…
…01100111011010000
3112211100101010222000
411112121230323100
543231100423423
62350005314000
7262232555013
oct52631547320
915740333860
105744545488
112488712060
121143a05900
13707196756
143c6d1337a
152394c7843
hex15666ced0

5744545488 has 160 divisors (see below), whose sum is σ = 18167587200. Its totient is φ = 1723392000.

The previous prime is 5744545459. The next prime is 5744545511. The reversal of 5744545488 is 8845454475.

5744545488 is a `hidden beast` number, since 5 + 7 + 44 + 54 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473968 + ... + 485936.

It is an arithmetic number, because the mean of its divisors is an integer number (113547420).

Almost surely, 25744545488 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 5744545488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9083793600).

5744545488 is an abundant number, since it is smaller than the sum of its proper divisors (12423041712).

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

5744545488 is a wasteful number, since it uses less digits than its factorization.

5744545488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12098 (or 12086 counting only the distinct ones).

The product of its digits is 14336000, while the sum is 54.

The square root of 5744545488 is about 75792.7799199897. The cubic root of 5744545488 is about 1790.9572699810.

The spelling of 5744545488 in words is "five billion, seven hundred forty-four million, five hundred forty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 101 108 132 144 176 198 202 216 264 297 303 396 404 432 528 594 606 792 808 909 1111 1188 1212 1584 1616 1818 2222 2376 2424 2727 3333 3636 4444 4752 4848 5454 6666 7272 8888 9999 10908 11969 13332 14544 17776 19998 21816 23938 26664 29997 35907 39996 43632 47876 53328 59994 71814 79992 95752 107721 119988 131659 143628 159984 191504 215442 239976 263318 287256 323163 394977 430884 479952 526636 574512 646326 789954 861768 1053272 1184931 1208869 1292652 1579908 1723536 2106544 2369862 2417738 2585304 3159816 3554793 3626607 4739724 4835476 5170608 6319632 7109586 7253214 9479448 9670952 10879821 13297559 14219172 14506428 18958896 19341904 21759642 26595118 28438344 29012856 32639463 39892677 43519284 53190236 56876688 58025712 65278926 79785354 87038568 106380472 119678031 130557852 159570708 174077136 212760944 239356062 261115704 319141416 359034093 478712124 522231408 638282832 718068186 957424248 1436136372 1914848496 2872272744 5744545488