Search a number
-
+
71433506052 = 22321984264057
BaseRepresentation
bin100001010000111000…
…1001100110100000100
320211101022202002111100
41002201301030310010
52132243434143202
652452135540100
75106121532406
oct1024161146404
9224338662440
1071433506052
1128327396417
1211a16b2a630
136975427b9c
14365916ab76
151cd13c341c
hex10a1c4cd04

71433506052 has 18 divisors (see below), whose sum is σ = 180568029278. Its totient is φ = 23811168672.

The previous prime is 71433506029. The next prime is 71433506059. The reversal of 71433506052 is 25060533417.

71433506052 is a `hidden beast` number, since 7 + 1 + 43 + 3 + 5 + 0 + 605 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66205348416 + 5228157636 = 257304^2 + 72306^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×714335060522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1984264057 = 71433506052 / (7 + 1 + 4 + 3 + 3 + 5 + 0 + 6 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 71433505998 and 71433506016.

It is not an unprimeable number, because it can be changed into a prime (71433506059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 992131993 + ... + 992132064.

Almost surely, 271433506052 is an apocalyptic number.

It is an amenable number.

71433506052 is an abundant number, since it is smaller than the sum of its proper divisors (109134523226).

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

71433506052 is a wasteful number, since it uses less digits than its factorization.

71433506052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984264067 (or 1984264062 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 71433506052 in words is "seventy-one billion, four hundred thirty-three million, five hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1984264057 3968528114 5952792171 7937056228 11905584342 17858376513 23811168684 35716753026 71433506052