Search a number
-
+
5335484160 = 28354133889
BaseRepresentation
bin1001111100000010…
…10000011100000000
3111202211122200022110
410332001100130000
541411340443120
62241233535320
7246134603256
oct47601203400
914684580273
105335484160
112298818246
12104aa14540
13670501926
143888705d6
152136242e0
hex13e050700

5335484160 has 144 divisors (see below), whose sum is σ = 17456332320. Its totient is φ = 1388052480.

The previous prime is 5335484137. The next prime is 5335484173. The reversal of 5335484160 is 614845335.

It is a super-2 number, since 2×53354841602 = 56934782443221811200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140496 + ... + 174384.

It is an arithmetic number, because the mean of its divisors is an integer number (121224530).

Almost surely, 25335484160 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 5335484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728166160).

5335484160 is an abundant number, since it is smaller than the sum of its proper divisors (12120848160).

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

5335484160 is a wasteful number, since it uses less digits than its factorization.

5335484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33954 (or 33940 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 5335484160 is about 73044.3985532087. The cubic root of 5335484160 is about 1747.3957629274.

The spelling of 5335484160 in words is "five billion, three hundred thirty-five million, four hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 615 640 656 768 820 960 984 1230 1280 1312 1640 1920 1968 2460 2624 3280 3840 3936 4920 5248 6560 7872 9840 10496 13120 15744 19680 26240 31488 33889 39360 52480 67778 78720 101667 135556 157440 169445 203334 271112 338890 406668 508335 542224 677780 813336 1016670 1084448 1355560 1389449 1626672 2033340 2168896 2711120 2778898 3253344 4066680 4168347 4337792 5422240 5557796 6506688 6947245 8133360 8336694 8675584 10844480 11115592 13013376 13894490 16266720 16673388 20841735 21688960 22231184 26026752 27788980 32533440 33346776 41683470 43377920 44462368 55577960 65066880 66693552 83366940 88924736 111155920 130133760 133387104 166733880 177849472 222311840 266774208 333467760 355698944 444623680 533548416 666935520 889247360 1067096832 1333871040 1778494720 2667742080 5335484160