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68754755745786 = 231123717681144763
BaseRepresentation
bin11111010001000001101101…
…10010101111011111111010
3100000102220001010212101222010
433220200312302233133322
533002434214432331121
6402121255421310350
720324236641100215
oct1750406662573772
9300386033771863
1068754755745786
111a9a8801205200
1278651707053b6
132c49712a2a856
1412d9a6848a77c
157e3707c20376
hex3e8836caf7fa

68754755745786 has 96 divisors (see below), whose sum is σ = 155241719527104. Its totient is φ = 20270385907200.

The previous prime is 68754755745743. The next prime is 68754755745847.

68754755745786 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 68754755745699 and 68754755745708.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474874641 + ... + 475019403.

It is an arithmetic number, because the mean of its divisors is an integer number (1617101245074).

Almost surely, 268754755745786 is an apocalyptic number.

68754755745786 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68754755745786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77620859763552).

68754755745786 is an abundant number, since it is smaller than the sum of its proper divisors (86486963781318).

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

68754755745786 is a wasteful number, since it uses less digits than its factorization.

68754755745786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162508 (or 162497 counting only the distinct ones).

The product of its digits is 55319040000, while the sum is 84.

The spelling of 68754755745786 in words is "sixty-eight trillion, seven hundred fifty-four billion, seven hundred fifty-five million, seven hundred forty-five thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 8954 13431 17681 26862 35362 53043 106086 144763 194491 289526 388982 434289 583473 654197 868578 1166946 1308394 1592393 1962591 2139401 3184786 3925182 4278802 4777179 5356231 6418203 7196167 9554358 10712462 12836406 14392334 16068693 17516323 21588501 32137386 35032646 43177002 52548969 58918541 79157837 105097938 117837082 158315674 176755623 237473511 353511246 474947022 648103951 1296207902 1944311853 2559554603 3888623706 5119109206 7678663809 15357327618 28155100633 56310201266 84465301899 94703520311 168930603798 189407040622 284110560933 309706106963 568221121866 619412213926 929118320889 1041738723421 1858236641778 2083477446842 3125216170263 6250432340526 11459125957631 22918251915262 34377377872893 68754755745786