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5265352224 = 2532112716133
BaseRepresentation
bin1001110011101011…
…01110011000100000
3111120221200121101100
410321311232120200
541240412232344
62230250434400
7244323520056
oct47165563040
914527617340
105265352224
112262177070
12102b432a00
1365bb18042
1437d4161d6
1520c3be569
hex139d6e620

5265352224 has 144 divisors (see below), whose sum is σ = 16397506944. Its totient is φ = 1589414400.

The previous prime is 5265352207. The next prime is 5265352231. The reversal of 5265352224 is 4222535625.

5265352224 is a `hidden beast` number, since 52 + 65 + 3 + 522 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×52653522243 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855462 + ... + 861594.

It is an arithmetic number, because the mean of its divisors is an integer number (113871576).

Almost surely, 25265352224 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 5265352224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198753472).

5265352224 is an abundant number, since it is smaller than the sum of its proper divisors (11132154720).

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

5265352224 is a wasteful number, since it uses less digits than its factorization.

5265352224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6420 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 5265352224 is about 72562.7468057818. The cubic root of 5265352224 is about 1739.7057925081.

Adding to 5265352224 its reverse (4222535625), we get a palindrome (9487887849).

The spelling of 5265352224 in words is "five billion, two hundred sixty-five million, three hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 271 288 352 396 528 542 792 813 1056 1084 1584 1626 2168 2439 2981 3168 3252 4336 4878 5962 6133 6504 8672 8943 9756 11924 12266 13008 17886 18399 19512 23848 24532 26016 26829 35772 36798 39024 47696 49064 53658 55197 67463 71544 73596 78048 95392 98128 107316 110394 134926 143088 147192 196256 202389 214632 220788 269852 286176 294384 404778 429264 441576 539704 588768 607167 809556 858528 883152 1079408 1214334 1619112 1662043 1766304 2158816 2428668 3238224 3324086 4857336 4986129 6476448 6648172 9714672 9972258 13296344 14958387 18282473 19429344 19944516 26592688 29916774 36564946 39889032 53185376 54847419 59833548 73129892 79778064 109694838 119667096 146259784 159556128 164542257 219389676 239334192 292519568 329084514 438779352 478668384 585039136 658169028 877558704 1316338056 1755117408 2632676112 5265352224