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5248375966512 = 243376011288733
BaseRepresentation
bin100110001011111101110…
…0101011100101100110000
3200120201222100022112102000
41030113323211130230300
51141442133221412022
615055023131254000
71051116435433320
oct114277345345460
920521870275360
105248375966512
111743907454378
127092065aa300
132c0bc58540a3
14142046609280
15917c7b906ac
hex4c5fb95cb30

5248375966512 has 160 divisors (see below), whose sum is σ = 17219818575360. Its totient is φ = 1499281332480.

The previous prime is 5248375966489. The next prime is 5248375966529. The reversal of 5248375966512 is 2156695738425.

5248375966512 is a `hidden beast` number, since 5 + 2 + 4 + 8 + 3 + 7 + 59 + 66 + 512 = 666.

It is a super-2 number, since 2×52483759665122 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5248375966512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18032898 + ... + 18321630.

It is an arithmetic number, because the mean of its divisors is an integer number (107623866096).

Almost surely, 25248375966512 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 5248375966512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609909287680).

5248375966512 is an abundant number, since it is smaller than the sum of its proper divisors (11971442608848).

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

5248375966512 is a wasteful number, since it uses less digits than its factorization.

5248375966512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294768 (or 294756 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 5248375966512 in words is "five trillion, two hundred forty-eight billion, three hundred seventy-five million, nine hundred sixty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 6011 12022 18033 24044 36066 42077 48088 54099 72132 84154 96176 108198 126231 144264 162297 168308 216396 252462 288528 288733 324594 336616 378693 432792 504924 577466 649188 673232 757386 865584 866199 1009848 1136079 1154932 1298376 1514772 1732398 2019696 2021131 2272158 2309864 2596752 2598597 3029544 3464796 4042262 4544316 4619728 5197194 6059088 6063393 6929592 7795791 8084524 9088632 10394388 12126786 13859184 15591582 16169048 18177264 18190179 20788776 24253572 31183164 32338096 36380358 41577552 48507144 54570537 62366328 72760716 97014288 109141074 124732656 145521432 218282148 291042864 436564296 873128592 1735574063 3471148126 5206722189 6942296252 10413444378 12149018441 13884592504 15620166567 20826888756 24298036882 27769185008 31240333134 36447055323 41653777512 46860499701 48596073764 62480666268 72894110646 83307555024 93720999402 97192147528 109341165969 124961332536 145788221292 187441998804 194384295056 218682331938 249922665072 291576442584 328023497907 374883997608 437364663876 583152885168 656046995814 749767995216 874729327752 1312093991628 1749458655504 2624187983256 5248375966512