Search a number
-
+
56552366325565 = 51110122134600291
BaseRepresentation
bin11001101101111000111111…
…01101001011111100111101
321102020100112122101111100001
430312330133231023330331
524403023221234404230
6320135444243434301
714624526233300035
oct1466743755137475
9242210478344301
1056552366325565
11170237a6523450
126414289085991
132572b32c988a6
14dd72133228c5
156810cbbe40ca
hex336f1fb4bf3d

56552366325565 has 32 divisors (see below), whose sum is σ = 74798981407872. Its totient is φ = 40703365920000.

The previous prime is 56552366325529. The next prime is 56552366325583.

It is a happy number.

56552366325565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56552366325565 - 221 = 56552364228413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56552366325497 and 56552366325506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9993070 + ... + 14593360.

It is an arithmetic number, because the mean of its divisors is an integer number (2337468168996).

Almost surely, 256552366325565 is an apocalyptic number.

56552366325565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56552366325565 is a deficient number, since it is larger than the sum of its proper divisors (18246615082307).

56552366325565 is a wasteful number, since it uses less digits than its factorization.

56552366325565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602621.

The product of its digits is 729000000, while the sum is 64.

The spelling of 56552366325565 in words is "fifty-six trillion, five hundred fifty-two billion, three hundred sixty-six million, three hundred twenty-five thousand, five hundred sixty-five".

Divisors: 1 5 11 55 101 505 1111 2213 5555 11065 24343 121715 223513 1117565 2458643 4600291 12293215 23001455 50603201 253016005 464629391 2323146955 5110923301 10180443983 25554616505 50902219915 111984883813 559924419065 1028224842283 5141124211415 11310473265113 56552366325565