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5484699760 = 24583899281
BaseRepresentation
bin1010001101110100…
…11110000001110000
3112011020102121122011
411012322132001300
542213040343020
62304124052304
7252626115211
oct50672360160
915136377564
105484699760
112364a74121
121090994094
136953b7797
143a05d3408
1522179b35a
hex146e9e070

5484699760 has 80 divisors (see below), whose sum is σ = 13051977120. Its totient is φ = 2142863360.

The previous prime is 5484699743. The next prime is 5484699763. The reversal of 5484699760 is 679964845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5484699695 and 5484699704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5484699763) 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, 586320 + ... + 595600.

It is an arithmetic number, because the mean of its divisors is an integer number (163149714).

Almost surely, 25484699760 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 5484699760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525988560).

5484699760 is an abundant number, since it is smaller than the sum of its proper divisors (7567277360).

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

5484699760 is a wasteful number, since it uses less digits than its factorization.

5484699760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The square root of 5484699760 is about 74058.7588337801. The cubic root of 5484699760 is about 1763.5358239675.

The spelling of 5484699760 in words is "five billion, four hundred eighty-four million, six hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 89 166 178 332 356 415 445 664 712 830 890 1328 1424 1660 1780 3320 3560 6640 7120 7387 9281 14774 18562 29548 36935 37124 46405 59096 73870 74248 92810 118192 147740 148496 185620 295480 371240 590960 742480 770323 826009 1540646 1652018 3081292 3304036 3851615 4130045 6162584 6608072 7703230 8260090 12325168 13216144 15406460 16520180 30812920 33040360 61625840 66080720 68558747 137117494 274234988 342793735 548469976 685587470 1096939952 1371174940 2742349880 5484699760