Search a number
-
+
71332222565412 = 22325953332849089
BaseRepresentation
bin10000001110000001010011…
…110010010111110000100100
3100100120021221020102010222100
4100032001103302113300210
533322201342434043122
6411413323132332100
721011403654425004
oct2016012362276044
9310507836363870
1071332222565412
112080190a013666
1280007b5014030
1330a57a47988a3
1413886d86cc004
1583a7ac71caac
hex40e053c97c24

71332222565412 has 36 divisors (see below), whose sum is σ = 180342296849260. Its totient is φ = 23773413261312.

The previous prime is 71332222565273. The next prime is 71332222565419. The reversal of 71332222565412 is 21456522223317.

71332222565412 is a `hidden beast` number, since 7 + 1 + 3 + 3 + 2 + 2 + 225 + 6 + 5 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 494144326116 + 70838078239296 = 702954^2 + 8416536^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×713322225654124 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (71332222565419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166210237 + ... + 166638852.

Almost surely, 271332222565412 is an apocalyptic number.

It is an amenable number.

71332222565412 is an abundant number, since it is smaller than the sum of its proper divisors (109010074283848).

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

71332222565412 is a wasteful number, since it uses less digits than its factorization.

71332222565412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332855052 (or 332855047 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

Adding to 71332222565412 its reverse (21456522223317), we get a palindrome (92788744788729).

The spelling of 71332222565412 in words is "seventy-one trillion, three hundred thirty-two billion, two hundred twenty-two million, five hundred sixty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5953 11906 17859 23812 35718 53577 71436 107154 214308 332849089 665698178 998547267 1331396356 1997094534 2995641801 3994189068 5991283602 11982567204 1981450626817 3962901253634 5944351880451 7925802507268 11888703760902 17833055641353 23777407521804 35666111282706 71332222565412