Search a number
-
+
5664501744 = 24311388663
BaseRepresentation
bin1010100011010000…
…10110111111110000
3112121202202111120220
411101220112333300
543100103023434
62334025533040
7260241320226
oct52150267760
915552674526
105664501744
112447511000
121121044180
136c371c4a5
143ba438b16
15232465d49
hex151a16ff0

5664501744 has 80 divisors (see below), whose sum is σ = 16095707904. Its totient is φ = 1716496320.

The previous prime is 5664501737. The next prime is 5664501769. The reversal of 5664501744 is 4471054665.

It is a junction number, because it is equal to n+sod(n) for n = 5664501696 and 5664501705.

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 15 ways as a sum of consecutive naturals, for example, 19557 + ... + 108219.

Almost surely, 25664501744 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 5664501744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047853952).

5664501744 is an abundant number, since it is smaller than the sum of its proper divisors (10431206160).

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

5664501744 is a wasteful number, since it uses less digits than its factorization.

5664501744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88707 (or 88679 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 5664501744 is about 75262.8842391786. The cubic root of 5664501744 is about 1782.6000113316.

The spelling of 5664501744 in words is "five billion, six hundred sixty-four million, five hundred one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1331 1452 1936 2662 2904 3993 5324 5808 7986 10648 15972 21296 31944 63888 88663 177326 265989 354652 531978 709304 975293 1063956 1418608 1950586 2127912 2925879 3901172 4255824 5851758 7802344 10728223 11703516 15604688 21456446 23407032 32184669 42912892 46814064 64369338 85825784 118010453 128738676 171651568 236020906 257477352 354031359 472041812 514954704 708062718 944083624 1416125436 1888167248 2832250872 5664501744