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71506240055 = 51731732231667
BaseRepresentation
bin100001010011000011…
…0101010001000110111
320211120101121100210022
41002212012222020313
52132421044140210
652503254515355
75110664004035
oct1024606521067
9224511540708
1071506240055
1128364454568
1211a37365b5b
136987512c63
143664aa1555
151cd798e155
hex10a61aa237

71506240055 has 64 divisors (see below), whose sum is σ = 95554142208. Its totient is φ = 51128340480.

The previous prime is 71506240051. The next prime is 71506240081. The reversal of 71506240055 is 55004260517.

It is not a de Polignac number, because 71506240055 - 22 = 71506240051 is a prime.

It is a super-2 number, since 2×715062400552 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71506239997 and 71506240024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71506240051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42894332 + ... + 42895998.

It is an arithmetic number, because the mean of its divisors is an integer number (1493033472).

Almost surely, 271506240055 is an apocalyptic number.

71506240055 is a deficient number, since it is larger than the sum of its proper divisors (24047902153).

71506240055 is a wasteful number, since it uses less digits than its factorization.

71506240055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016.

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 71506240055 in words is "seventy-one billion, five hundred six million, two hundred forty thousand, fifty-five".

Divisors: 1 5 17 31 73 85 155 223 365 527 1115 1241 1667 2263 2635 3791 6205 6913 8335 11315 16279 18955 28339 34565 38471 51677 81395 117521 121691 141695 192355 258385 276743 371741 504649 587605 608455 878509 1383715 1858705 2068747 2523245 3772421 4392545 6319597 8579033 10343735 11523971 18862105 27137093 31597985 42895165 57619855 64131157 135685465 195907507 320655785 461330581 841249883 979537535 2306652905 4206249415 14301248011 71506240055