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132155323515162 = 23223312332399961
BaseRepresentation
bin11110000011000111001111…
…000111010000000100011010
3122022220220222201110020112200
4132003013033013100010122
5114310213100304441122
61145023152324551030
736556623054254253
oct3603071707200432
9568826881406480
10132155323515162
1139121837929972
12129a4706552476
13589826926977c
14248c4cd435b2a
1510429e36b35ac
hex7831cf1d011a

132155323515162 has 144 divisors (see below), whose sum is σ = 308831114764224. Its totient is φ = 40764559651200.

The previous prime is 132155323515161. The next prime is 132155323515211. The reversal of 132155323515162 is 261515323551231.

132155323515162 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 53 + 23 + 515 + 1 + 62 = 666.

It is not an unprimeable number, because it can be changed into a prime (132155323515161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1322018862 + ... + 1322118822.

It is an arithmetic number, because the mean of its divisors is an integer number (2144660519196).

Almost surely, 2132155323515162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132155323515162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154415557382112).

132155323515162 is an abundant number, since it is smaller than the sum of its proper divisors (176675791249062).

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

132155323515162 is a wasteful number, since it uses less digits than its factorization.

132155323515162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103377 (or 103343 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The spelling of 132155323515162 in words is "one hundred thirty-two trillion, one hundred fifty-five billion, three hundred twenty-three million, five hundred fifteen thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 961 1426 1922 2139 2883 3323 4278 5766 6417 6646 8649 9969 12834 17298 19938 22103 29907 44206 59814 66309 76429 99961 103013 132618 152858 198927 199922 206026 229287 299883 309039 397854 458574 599766 618078 687861 899649 927117 1375722 1799298 1854234 2299103 2369299 3098791 3193403 4598206 4738598 6197582 6386806 6897309 7107897 9296373 9580209 13794618 14215794 18592746 19160418 20691927 21323691 27889119 28740627 41383854 42647382 55778238 57481254 71272193 73448269 96062521 142544386 146896538 192125042 213816579 220344807 288187563 332170403 427633158 440689614 576375126 641449737 661034421 664340806 864562689 996511209 1282899474 1322068842 1729125378 1993022418 2209437983 2989533627 4418875966 5979067254 6628313949 7639919269 10297282493 13256627898 15279838538 19884941847 20594564986 22919757807 30891847479 39769883694 45839515614 61783694958 68759273421 92675542437 137518546842 185351084874 236837497339 319215757283 473674994678 638431514566 710512492017 957647271849 1421024984034 1915294543698 2131537476051 2872941815547 4263074952102 5745883631094 7341962417509 14683924835018 22025887252527 44051774505054 66077661757581 132155323515162