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138820351244168 = 231129311174908969
BaseRepresentation
bin11111100100000110100001…
…101110010011011110001000
3200012112002120221222202021202
4133210012201232103132020
5121143413034404303133
61211125104452123332
741145303500225306
oct3744064156233610
9605462527882252
10138820351244168
1140261420269110
12136a0392906548
135c5c91a500c09
14263cd2599b276
15110b0812ee2e8
hex7e41a1b93788

138820351244168 has 64 divisors (see below), whose sum is σ = 294686632656000. Its totient is φ = 60728393689600.

The previous prime is 138820351244167. The next prime is 138820351244173. The reversal of 138820351244168 is 861442153028831.

It is not an unprimeable number, because it can be changed into a prime (138820351244167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86660813 + ... + 88248156.

It is an arithmetic number, because the mean of its divisors is an integer number (4604478635250).

Almost surely, 2138820351244168 is an apocalyptic number.

It is an amenable number.

138820351244168 is an abundant number, since it is smaller than the sum of its proper divisors (155866281411832).

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

138820351244168 is a wasteful number, since it uses less digits than its factorization.

138820351244168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174909326 (or 174909322 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 138820351244168 in words is "one hundred thirty-eight trillion, eight hundred twenty billion, three hundred fifty-one million, two hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 311 319 622 638 1244 1276 2488 2552 3421 6842 9019 13684 18038 27368 36076 72152 99209 198418 396836 793672 174908969 349817938 699635876 1399271752 1923998659 3847997318 5072360101 7695994636 10144720202 15391989272 20289440404 40578880808 54396689359 55795961111 108793378718 111591922222 217586757436 223183844444 435173514872 446367688888 598363582949 1196727165898 1577503991411 2393454331796 3155007982822 4786908663592 6310015965644 12620031931288 17352543905521 34705087811042 69410175622084 138820351244168