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11243371255968 = 253898693151379
BaseRepresentation
bin1010001110011100110100…
…1001100101100010100000
31110210212002212121110002110
42203213031021211202200
52433202411020142333
635525044454115320
72240210135550615
oct243471511454240
943725085543073
1011243371255968
113645317a61705
12131705a34bb40
136373260961a7
142ac27986c50c
151476ec591063
hexa39cd2658a0

11243371255968 has 96 divisors (see below), whose sum is σ = 29849096289600. Its totient is φ = 3705229654016.

The previous prime is 11243371255957. The next prime is 11243371255969. The reversal of 11243371255968 is 86955217334211.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11243371255969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74197303 + ... + 74348681.

It is an arithmetic number, because the mean of its divisors is an integer number (310928086350).

Almost surely, 211243371255968 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 11243371255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14924548144800).

11243371255968 is an abundant number, since it is smaller than the sum of its proper divisors (18605725033632).

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

11243371255968 is a wasteful number, since it uses less digits than its factorization.

11243371255968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160174 (or 160166 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 11243371255968 in words is "eleven trillion, two hundred forty-three billion, three hundred seventy-one million, two hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 8693 17386 26079 34772 52158 69544 104316 139088 151379 208632 278176 302758 417264 454137 605516 773677 834528 908274 1211032 1547354 1816548 2321031 2422064 3094708 3633096 4642062 4844128 6189416 7266192 9284124 12378832 13472731 14532384 18568248 24757664 26945462 37136496 40418193 53890924 74272992 80836386 107781848 161672772 215563696 323345544 431127392 646691088 1293382176 1315937647 2631875294 3947812941 5263750588 7895625882 10527501176 15791251764 21055002352 31582503528 42110004704 63165007056 117118450583 126330014112 234236901166 351355351749 468473802332 702710703498 936947604664 1405421406996 1873895209328 2810842813992 3747790418656 5621685627984 11243371255968