Search a number
-
+
64229771542671 = 32729360120112879
BaseRepresentation
bin11101001101010101010001…
…01101111000000010001111
322102102022021012202222020100
432212222220231320002033
531404320033003331141
6344334425534022143
716346306421015210
oct1646525055700217
9272368235688210
1064229771542671
1119513769629599
1272541b0647953
1329abac291c117
1411c0a47ad3407
15765b6ca300b6
hex3a6aa8b7808f

64229771542671 has 96 divisors (see below), whose sum is σ = 106659028869120. Its totient is φ = 36485764416000.

The previous prime is 64229771542529. The next prime is 64229771542679. The reversal of 64229771542671 is 17624517792246.

64229771542671 is a `hidden beast` number, since 6 + 4 + 2 + 29 + 7 + 7 + 1 + 542 + 67 + 1 = 666.

64229771542671 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 64229771542671 - 213 = 64229771534479 is a prime.

It is a super-2 number, since 2×642297715426712 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 64229771542599 and 64229771542608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64229771542679) 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 95 ways as a sum of consecutive naturals, for example, 22309749010 + ... + 22309751888.

It is an arithmetic number, because the mean of its divisors is an integer number (1111031550720).

Almost surely, 264229771542671 is an apocalyptic number.

64229771542671 is a deficient number, since it is larger than the sum of its proper divisors (42429257326449).

64229771542671 is a wasteful number, since it uses less digits than its factorization.

64229771542671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5794 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 64229771542671 in words is "sixty-four trillion, two hundred twenty-nine billion, seven hundred seventy-one million, five hundred forty-two thousand, six hundred seventy-one".

Divisors: 1 3 7 9 21 63 293 601 879 1803 2011 2051 2637 2879 4207 5409 6033 6153 8637 12621 14077 18099 18459 20153 25911 37863 42231 60459 126693 176093 181377 528279 589223 843547 1208611 1232651 1584837 1730279 1767669 2530641 3625833 3697953 4124561 5190837 5303007 5789669 5904829 7591923 8460277 10877499 11093859 12111953 12373683 15572511 17369007 17714487 25380831 36335859 37121049 40527683 52107021 53143461 76142493 109007577 121583049 354123023 364749147 506971747 1062369069 1520915241 1696373017 2478861161 3187107207 3479591069 3548802229 4562745723 5089119051 7436583483 10438773207 10646406687 11874611119 15267357153 22309750449 24357137483 31316319621 31939220061 35623833357 73071412449 106871500071 219214237347 1019520183217 3058560549651 7136641282519 9175681648953 21409923847557 64229771542671