Search a number
-
+
6484569936 = 2431343383631
BaseRepresentation
bin1100000101000001…
…01010111101010000
3121201220212021122220
412002200222331100
5101240022214221
62551242501040
7316456635465
oct60240527520
917656767586
106484569936
112828409409
12130b804780
137c45aa840
1445730966c
1527e4540c6
hex18282af50

6484569936 has 160 divisors (see below), whose sum is σ = 18537480192. Its totient is φ = 1940682240.

The previous prime is 6484569919. The next prime is 6484569937. The reversal of 6484569936 is 6399654846.

It is a self number, because there is not a number n which added to its sum of digits gives 6484569936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6484569937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10276341 + ... + 10276971.

Almost surely, 26484569936 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 6484569936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268740096).

6484569936 is an abundant number, since it is smaller than the sum of its proper divisors (12052910256).

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

6484569936 is a wasteful number, since it uses less digits than its factorization.

6484569936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1075 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 60.

The square root of 6484569936 is about 80526.8274303663. The cubic root of 6484569936 is about 1864.7776676744. Note that the first 3 decimals are identical.

The spelling of 6484569936 in words is "six billion, four hundred eighty-four million, five hundred sixty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 383 516 559 624 631 688 766 1032 1118 1149 1262 1532 1677 1893 2064 2236 2298 2524 3064 3354 3786 4472 4596 4979 5048 6128 6708 7572 8203 8944 9192 9958 10096 13416 14937 15144 16406 16469 18384 19916 24609 26832 27133 29874 30288 32812 32938 39832 49218 49407 54266 59748 65624 65876 79664 81399 98436 98814 108532 119496 131248 131752 162798 196872 197628 214097 217064 238992 241673 263504 325596 352729 393744 395256 428194 434128 483346 642291 651192 705458 725019 790512 856388 966692 1058187 1284582 1302384 1410916 1450038 1712776 1933384 2116374 2569164 2821832 2900076 3141749 3425552 3866768 4232748 5138328 5643664 5800152 6283498 8465496 9425247 10276656 10391939 11600304 12566996 16930992 18850494 20783878 25133992 31175817 37700988 41567756 50267984 62351634 75401976 83135512 124703268 135095207 150803952 166271024 249406536 270190414 405285621 498813072 540380828 810571242 1080761656 1621142484 2161523312 3242284968 6484569936