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71665100001 = 3511139192883
BaseRepresentation
bin100001010111110010…
…0101010010011100001
320211222110112021200000
41002233210222103201
52133232231200001
652531131450213
75114633204415
oct1025744522341
9224873467600
1071665100001
1128436098380
1211a805b6969
1369b13c4821
14367bc14d45
151ce68bda86
hex10af92a4e1

71665100001 has 48 divisors (see below), whose sum is σ = 117952423680. Its totient is φ = 43120699920.

The previous prime is 71665099993. The next prime is 71665100033. The reversal of 71665100001 is 10000156617.

71665100001 is a `hidden beast` number, since 7 + 1 + 6 + 651 + 0 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 71665100001 - 23 = 71665099993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71665100401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275106 + ... + 467988.

It is an arithmetic number, because the mean of its divisors is an integer number (2457342160).

Almost surely, 271665100001 is an apocalyptic number.

It is an amenable number.

71665100001 is a deficient number, since it is larger than the sum of its proper divisors (46287323679).

71665100001 is a wasteful number, since it uses less digits than its factorization.

71665100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193048 (or 193036 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 71665100001 its reverse (10000156617), we get a palindrome (81665256618).

The spelling of 71665100001 in words is "seventy-one billion, six hundred sixty-five million, one hundred thousand, one".

Divisors: 1 3 9 11 27 33 81 99 139 243 297 417 891 1251 1529 2673 3753 4587 11259 13761 33777 41283 123849 192883 371547 578649 1735947 2121713 5207841 6365139 15623523 19095417 26810737 46870569 57286251 80432211 171858753 241296633 294918107 515576259 723889899 884754321 2171669697 2654262963 6515009091 7962788889 23888366667 71665100001