Search a number
-
+
418189086105 = 35721919773049
BaseRepresentation
bin1100001010111100000…
…00110000110110011001
31110222102022112200101120
412011132000300312121
523322422401223410
6520040255235453
742133054403400
oct6053600606631
91428368480346
10418189086105
11151397922a6a
126906a818b89
1330586aa439b
1416351b70637
15ad286a2570
hex615e030d99

418189086105 has 96 divisors (see below), whose sum is σ = 783476582400. Its totient is φ = 189914296320.

The previous prime is 418189086059. The next prime is 418189086127. The reversal of 418189086105 is 501680981814.

It is not a de Polignac number, because 418189086105 - 210 = 418189085081 is a prime.

It is a super-2 number, since 2×4181890861052 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137154621 + ... + 137157669.

It is an arithmetic number, because the mean of its divisors is an integer number (8161214400).

Almost surely, 2418189086105 is an apocalyptic number.

It is an amenable number.

418189086105 is a deficient number, since it is larger than the sum of its proper divisors (365287496295).

418189086105 is a wasteful number, since it uses less digits than its factorization.

418189086105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 51.

The spelling of 418189086105 in words is "four hundred eighteen billion, one hundred eighty-nine million, eighty-six thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 191 245 573 735 955 977 1337 2865 2931 3049 4011 4885 6685 6839 9147 9359 14655 15245 20055 20517 21343 28077 34195 45735 46795 47873 64029 102585 106715 140385 143619 149401 186607 239365 320145 448203 559821 582359 718095 747005 933035 1306249 1747077 2241015 2799105 2911795 2978873 3918747 4076513 6531245 8735385 8936619 9143743 12229539 14894365 19593735 20382565 20852111 27431229 28535591 44683095 45718715 61147695 62556333 85606773 104260555 137156145 142677955 145964777 312781665 428033865 437894331 568964743 729823885 1706894229 2189471655 2844823715 3982753201 8534471145 11948259603 19913766005 27879272407 59741298015 83637817221 139396362035 418189086105