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145021281685665 = 35721117937078749
BaseRepresentation
bin100000111110010101100101…
…111110101101000010100001
3201000110220021110121022110120
4200332111211332231002201
5123002012041102420130
61232233505043550453
742355304360300100
oct4076254576550241
9630426243538416
10145021281685665
11422321a88a6180
121432211998b429
1362bc5a9874478
1427b50d3270037
1511b750a24c910
hex83e565fad0a1

145021281685665 has 48 divisors (see below), whose sum is σ = 294455084760000. Its totient is φ = 60268584593280.

The previous prime is 145021281685663. The next prime is 145021281685717. The reversal of 145021281685665 is 566586182120541.

It is a happy number.

145021281685665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145021281685665 - 21 = 145021281685663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145021281685599 and 145021281685608.

It is not an unprimeable number, because it can be changed into a prime (145021281685663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8968531290 + ... + 8968547459.

It is an arithmetic number, because the mean of its divisors is an integer number (6134480932500).

Almost surely, 2145021281685665 is an apocalyptic number.

145021281685665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145021281685665 is an abundant number, since it is smaller than the sum of its proper divisors (149433803074335).

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

145021281685665 is a wasteful number, since it uses less digits than its factorization.

145021281685665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17937078782 (or 17937078775 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 60.

The spelling of 145021281685665 in words is "one hundred forty-five trillion, twenty-one billion, two hundred eighty-one million, six hundred eighty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 17937078749 53811236247 89685393745 125559551243 197307866239 269056181235 376678653729 591923598717 627797756215 878916858701 986539331195 1381155063673 1883393268645 2636750576103 2959617993585 4143465191019 4394584293505 6905775318365 9668085445711 13183752880515 20717325955095 29004256337133 48340427228555 145021281685665