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5153515345512 = 2332413469503249
BaseRepresentation
bin100101011111110010101…
…1100111001011001101000
3200020200010100022200202200
41022333211130321121220
51133413344412024022
614543254155100200
71041220625445132
oct112774534713150
920220110280680
105153515345512
111707659073836
126b2951a41660
132b4c88a23a11
1413b607d6c052
158e0c4c3ebac
hex4afe5739668

5153515345512 has 96 divisors (see below), whose sum is σ = 14302012725000. Its totient is φ = 1675453501440.

The previous prime is 5153515345507. The next prime is 5153515345523. The reversal of 5153515345512 is 2155435153515.

5153515345512 is a `hidden beast` number, since 5 + 1 + 5 + 3 + 51 + 534 + 55 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 566096731236 + 4587418614276 = 752394^2 + 2141826^2 .

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, 9988864 + ... + 10492112.

Almost surely, 25153515345512 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 5153515345512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151006362500).

5153515345512 is an abundant number, since it is smaller than the sum of its proper divisors (9148497379488).

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

5153515345512 is a wasteful number, since it uses less digits than its factorization.

5153515345512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506771 (or 506764 counting only the distinct ones).

The product of its digits is 1125000, while the sum is 45.

The spelling of 5153515345512 in words is "five trillion, one hundred fifty-three billion, five hundred fifteen million, three hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3469 6938 10407 13876 20814 27752 31221 41628 62442 83256 124884 142229 249768 284458 426687 503249 568916 853374 1006498 1137832 1280061 1509747 1706748 2012996 2560122 3019494 3413496 4025992 4529241 5120244 6038988 9058482 10240488 12077976 18116964 20633209 36233928 41266418 61899627 82532836 123799254 165065672 185698881 247598508 371397762 495197016 742795524 1485591048 1745770781 3491541562 5237312343 6983083124 10474624686 13966166248 15711937029 20949249372 31423874058 41898498744 62847748116 71576602021 125695496232 143153204042 214729806063 286306408084 429459612126 572612816168 644189418189 858919224252 1288378836378 1717838448504 2576757672756 5153515345512