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5333868800 = 28521364109
BaseRepresentation
bin1001111011110110…
…00110000100000000
3111202201121121110022
410331323012010000
541410432300200
62241135153012
7246115064621
oct47573060400
914681547408
105333868800
112297914637
12104a375768
136700875b0
1438856da48
15213405885
hex13dec6100

5333868800 has 108 divisors (see below), whose sum is σ = 14217931140. Its totient is φ = 1969397760.

The previous prime is 5333868791. The next prime is 5333868811. The reversal of 5333868800 is 88683335.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1364224 + 5332504576 = 1168^2 + 73024^2 .

It is a super-2 number, since 2×53338688002 = 56900312751226880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51146 + ... + 115254.

Almost surely, 25333868800 is an apocalyptic number.

5333868800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5333868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108965570).

5333868800 is an abundant number, since it is smaller than the sum of its proper divisors (8884062340).

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

5333868800 is a wasteful number, since it uses less digits than its factorization.

5333868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64148 (or 64129 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 5333868800 is about 73033.3403316595. The cubic root of 5333868800 is about 1747.2193991683.

The spelling of 5333868800 in words is "five billion, three hundred thirty-three million, eight hundred sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2600 3200 3328 4160 5200 6400 8320 10400 16640 20800 41600 64109 83200 128218 256436 320545 512872 641090 833417 1025744 1282180 1602725 1666834 2051488 2564360 3205450 3333668 4102976 4167085 5128720 6410900 6667336 8205952 8334170 10257440 12821800 13334672 16411904 16668340 20514880 20835425 25643600 26669344 33336680 41029760 41670850 51287200 53338688 66673360 82059520 83341700 102574400 106677376 133346720 166683400 205148800 213354752 266693440 333366800 410297600 533386880 666733600 1066773760 1333467200 2666934400 5333868800