Search a number
-
+
5305000706464 = 253717328878971
BaseRepresentation
bin100110100110010101010…
…1011101100000110100000
3200210011010121202100210211
41031030222223230012200
51143404120140101324
615141030024103504
71055162601663604
oct115145253540640
920704117670724
105305000706464
111765924663618
1271818a004b94
132c634ac3b184
14144a98ad1504
1592edde26294
hex4d32aaec1a0

5305000706464 has 96 divisors (see below), whose sum is σ = 10793439167616. Its totient is φ = 2564718474240.

The previous prime is 5305000706441. The next prime is 5305000706477. The reversal of 5305000706464 is 4646070005035.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591345499 + ... + 591354469.

It is an arithmetic number, because the mean of its divisors is an integer number (112431657996).

Almost surely, 25305000706464 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 5305000706464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396719583808).

5305000706464 is an abundant number, since it is smaller than the sum of its proper divisors (5488438461152).

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

5305000706464 is a wasteful number, since it uses less digits than its factorization.

5305000706464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 5305000706464 in words is "five trillion, three hundred five billion, seven hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 173 296 346 592 692 1184 1384 2768 2887 5536 5774 6401 8971 11548 12802 17942 23096 25604 35884 46192 51208 71768 92384 102416 106819 143536 204832 213638 287072 331927 427276 499451 663854 854552 998902 1327708 1551983 1709104 1997804 2655416 3103966 3418208 3995608 5310832 6207932 7991216 10621664 12415864 15982432 18479687 24831728 25899277 36959374 49663456 51798554 57423371 73918748 103597108 114846742 147837496 207194216 229693484 295674992 414388432 459386968 591349984 828776864 918773936 958273249 1837547872 1916546498 3833092996 4480574921 7666185992 8961149842 15332371984 17922299684 30664743968 35844599368 71689198736 143378397472 165781272077 331562544154 663125088308 1326250176616 2652500353232 5305000706464