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12052235686688 = 254161355742337
BaseRepresentation
bin1010111101100010000100…
…1110100001001100100000
31120200011221000201220222222
42233120201032201030200
53034430434313433223
641344415354050212
72352513431016161
oct257304116411440
946604830656888
1012052235686688
1139273629313aa
121427979419968
136956a06a7432
142d948d1d9768
1515d78dbd10c8
hexaf6213a1320

12052235686688 has 96 divisors (see below), whose sum is σ = 24712564263408. Its totient is φ = 5780997734400.

The previous prime is 12052235686669. The next prime is 12052235686747. The reversal of 12052235686688 is 88668653225021.

It is a Cunningham number, because it is equal to 34716332-1.

It can be written as a sum of positive squares in 8 ways, for example, as 323610801424 + 11728624885264 = 568868^2 + 3424708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12052235686688.

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, 284652656 + ... + 284694992.

Almost surely, 212052235686688 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 12052235686688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356282131704).

12052235686688 is an abundant number, since it is smaller than the sum of its proper divisors (12660328576720).

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

12052235686688 is a wasteful number, since it uses less digits than its factorization.

12052235686688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46006 (or 45998 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 62.

The spelling of 12052235686688 in words is "twelve trillion, fifty-two billion, two hundred thirty-five million, six hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 61 82 122 164 244 328 488 656 976 1312 1952 2501 3557 5002 7114 10004 14228 20008 28456 40016 42337 56912 80032 84674 113824 145837 169348 216977 291674 338696 433954 583348 677392 867908 1166696 1354784 1735816 1735817 2333392 2582557 3471632 3471634 4666784 5165114 6943264 6943268 8896057 10330228 13886536 17792114 20660456 27773072 35584228 41320912 55546144 71168456 82641824 105884837 142336912 150592709 211769674 284673824 301185418 423539348 602370836 847078696 1204741672 1694157392 2409483344 3388314784 4818966688 6174301069 9186155249 12348602138 18372310498 24697204276 36744620996 49394408552 73489241992 98788817104 146978483984 197577634208 293956967968 376632365209 753264730418 1506529460836 3013058921672 6026117843344 12052235686688