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118665126656 = 28171634092
BaseRepresentation
bin110111010000011111…
…1100010001100000000
3102100021222101000111222
41232200333202030000
53421011233023111
6130303005254212
711400426635246
oct1564077421400
9370258330458
10118665126656
114636440900a
121abb8864368
13b26178c19b
145a59d48796
153147bc77db
hex1ba0fe2300

118665126656 has 108 divisors (see below), whose sum is σ = 252957178152. Its totient is φ = 55364124672.

The previous prime is 118665126617. The next prime is 118665126661. The reversal of 118665126656 is 656621566811.

It is a happy number.

118665126656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 118665126598 and 118665126607.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290134580 + ... + 290134988.

It is an arithmetic number, because the mean of its divisors is an integer number (2342196094).

Almost surely, 2118665126656 is an apocalyptic number.

118665126656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118665126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126478589076).

118665126656 is an abundant number, since it is smaller than the sum of its proper divisors (134292051496).

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

118665126656 is an frugal number, since it uses more digits than its factorization.

118665126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 591 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 53.

The spelling of 118665126656 in words is "one hundred eighteen billion, six hundred sixty-five million, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 163 256 272 326 409 544 652 818 1088 1304 1636 2176 2608 2771 3272 4352 5216 5542 6544 6953 10432 11084 13088 13906 20864 22168 26176 27812 41728 44336 52352 55624 66667 88672 104704 111248 133334 167281 177344 222496 266668 334562 354688 444992 533336 669124 709376 889984 1066672 1133339 1338248 1779968 2133344 2266678 2676496 2843777 4266688 4533356 5352992 5687554 8533376 9066712 10705984 11375108 17066752 18133424 21411968 22750216 27266803 36266848 42823936 45500432 54533606 72533696 91000864 109067212 145067392 182001728 218134424 290134784 364003456 436268848 463535651 728006912 872537696 927071302 1745075392 1854142604 3490150784 3708285208 6980301568 7416570416 14833140832 29666281664 59332563328 118665126656