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13395592541248 = 264312744098693
BaseRepresentation
bin1100001011101110011110…
…0010001111010001000000
31202102121100212122210111021
43002323213202033101000
53223433133142304443
644253503353355224
72551541161620421
oct302734742172100
952377325583437
1013395592541248
1142a50478490a5
1216041a4a08b14
137622781517a8
143444c8acb648
151836b41719ed
hexc2ee788f440

13395592541248 has 112 divisors (see below), whose sum is σ = 27423608002560. Its totient is φ = 6488302915584.

The previous prime is 13395592541203. The next prime is 13395592541411. The reversal of 13395592541248 is 84214529559331.

It is a super-2 number, since 2×133955925412482 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540958790 + ... + 1540967482.

It is an arithmetic number, because the mean of its divisors is an integer number (244853642880).

Almost surely, 213395592541248 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 13395592541248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711804001280).

13395592541248 is an abundant number, since it is smaller than the sum of its proper divisors (14028015461312).

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

13395592541248 is a wasteful number, since it uses less digits than its factorization.

13395592541248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13284 (or 13274 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 61.

The spelling of 13395592541248 in words is "thirteen trillion, three hundred ninety-five billion, five hundred ninety-two million, five hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 127 172 254 344 508 688 1016 1376 2032 2752 4064 4409 5461 8128 8693 8818 10922 17386 17636 21844 34772 35272 43688 69544 70544 87376 139088 141088 174752 189587 278176 282176 349504 373799 379174 556352 559943 747598 758348 1104011 1119886 1495196 1516696 2208022 2239772 2990392 3033392 4416044 4479544 5980784 6066784 8832088 8959088 11961568 12133568 17664176 17918176 23923136 24077549 35328352 35836352 38327437 47472473 48155098 70656704 76654874 94944946 96310196 153309748 189889892 192620392 306619496 379779784 385240784 613238992 759559568 770481568 1226477984 1519119136 1540963136 1648079791 2452955968 3038238272 3296159582 4867584499 6592319164 9735168998 13184638328 19470337996 26369276656 38940675992 52738553312 77881351984 105477106624 155762703968 209306133457 311525407936 418612266914 837224533828 1674449067656 3348898135312 6697796270624 13395592541248