Search a number
-
+
644122504543011 = 31347377992988473
BaseRepresentation
bin1001001001110100110111010…
…1000100110011101100100011
310010110122111202211102110120120
42102131031311010303230203
51133411300342130334021
610201533443224211323
7252450213061632144
oct22235156504635443
93113574684373516
10644122504543011
11177267902636a5a
12602ab30b609b43
1321854650c17390
14b50b9a48a3acb
154e70187b722c6
hex249d375133b23

644122504543011 has 32 divisors (see below), whose sum is σ = 944822408463360. Its totient is φ = 387846733726464.

The previous prime is 644122504542931. The next prime is 644122504543043. The reversal of 644122504543011 is 110345405221446.

644122504543011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 644122504543011 - 233 = 644113914608419 is a prime.

It is a super-2 number, since 2×6441225045430112 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (644122504543051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39567330 + ... + 53421143.

It is an arithmetic number, because the mean of its divisors is an integer number (29525700264480).

Almost surely, 2644122504543011 is an apocalyptic number.

644122504543011 is a deficient number, since it is larger than the sum of its proper divisors (300699903920349).

644122504543011 is a wasteful number, since it uses less digits than its factorization.

644122504543011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92992315.

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 644122504543011 its reverse (110345405221446), we get a palindrome (754467909764457).

The spelling of 644122504543011 in words is "six hundred forty-four trillion, one hundred twenty-two billion, five hundred four million, five hundred forty-three thousand, eleven".

Divisors: 1 3 13 39 47 141 611 1833 3779 11337 49127 147381 177613 532839 2308969 6926907 92988473 278965419 1208850149 3626550447 4370458231 13111374693 56815957003 170447871009 351403439467 1054210318401 4568244713071 13704734139213 16515961654949 49547884964847 214707501514337 644122504543011