Search a number
-
+
2114556562053 = 321361457648317
BaseRepresentation
bin11110110001010101011…
…001001000101010000101
321111011001002020011101200
4132301111121020222011
5234121102434441203
64255225221413113
7305525453134005
oct36612531105205
97434032204350
102114556562053
11745862064461
122a199486a199
1312452ba7cc30
14744b8ca4005
153a0101379a3
hex1ec55648a85

2114556562053 has 48 divisors (see below), whose sum is σ = 3350554102896. Its totient is φ = 1277130654720.

The previous prime is 2114556562039. The next prime is 2114556562121. The reversal of 2114556562053 is 3502656554112.

2114556562053 is a `hidden beast` number, since 2 + 1 + 14 + 5 + 5 + 6 + 5 + 620 + 5 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 214079259969 + 1900477302084 = 462687^2 + 1378578^2 .

It is not a de Polignac number, because 2114556562053 - 212 = 2114556557957 is a prime.

It is a super-3 number, since 3×21145565620533 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114556362053) 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 47 ways as a sum of consecutive naturals, for example, 2937451 + ... + 3585767.

It is an arithmetic number, because the mean of its divisors is an integer number (69803210477).

Almost surely, 22114556562053 is an apocalyptic number.

It is an amenable number.

2114556562053 is a deficient number, since it is larger than the sum of its proper divisors (1235997540843).

2114556562053 is a wasteful number, since it uses less digits than its factorization.

2114556562053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648854 (or 648851 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 2114556562053 in words is "two trillion, one hundred fourteen billion, five hundred fifty-six million, five hundred sixty-two thousand, fifty-three".

Divisors: 1 3 9 13 39 61 117 183 457 549 793 1371 2379 4113 5941 7137 17823 27877 53469 83631 250893 362401 648317 1087203 1944951 3261609 5834853 8428121 25284363 39547337 75853089 118642011 296280869 355926033 514115381 888842607 1542346143 2666527821 3851651297 4627038429 11554953891 18073133009 34664861673 54219399027 162658197081 234950729117 704852187351 2114556562053