Search a number
-
+
5661540828117 = 321307481300759
BaseRepresentation
bin101001001100010111000…
…1000010100001111010101
3202001020102111220011110200
41102120232020110033111
51220224313422444432
620012513112211113
71123014155010126
oct122305610241725
922036374804420
105661540828117
111893056224089
127752b2699a99
13320b5b767665
1415803cdb004d
159c40a203a7c
hex5262e2143d5

5661540828117 has 12 divisors (see below), whose sum is σ = 8184038123040. Its totient is φ = 3771472739688.

The previous prime is 5661540828091. The next prime is 5661540828133. The reversal of 5661540828117 is 7118280451665.

5661540828117 is a `hidden beast` number, since 5 + 6 + 6 + 1 + 540 + 8 + 2 + 81 + 17 = 666.

It is not a de Polignac number, because 5661540828117 - 214 = 5661540811733 is a prime.

It is a super-2 number, since 2×56615408281172 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5661540828137) 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, 240638617 + ... + 240662142.

It is an arithmetic number, because the mean of its divisors is an integer number (682003176920).

Almost surely, 25661540828117 is an apocalyptic number.

It is an amenable number.

5661540828117 is a deficient number, since it is larger than the sum of its proper divisors (2522497294923).

5661540828117 is a wasteful number, since it uses less digits than its factorization.

5661540828117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481302072 (or 481302069 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 5661540828117 in words is "five trillion, six hundred sixty-one billion, five hundred forty million, eight hundred twenty-eight thousand, one hundred seventeen".

Divisors: 1 3 9 1307 3921 11763 481300759 1443902277 4331706831 629060092013 1887180276039 5661540828117