Search a number
-
+
5104355431 = 7223113149269
BaseRepresentation
bin1001100000011111…
…00100100001100111
3111011201202010022011
410300033210201213
540423203333211
62202300015051
7240330206500
oct46017444147
914151663264
105104355431
11218a30386a
12ba5531487
13634668976
14365ca7ba7
151ed1bb921
hex1303e4867

5104355431 has 48 divisors (see below), whose sum is σ = 6316056000. Its totient is φ = 4104748032.

The previous prime is 5104355419. The next prime is 5104355467. The reversal of 5104355431 is 1345534015.

It is not a de Polignac number, because 5104355431 - 29 = 5104354919 is a prime.

It is a super-2 number, since 2×51043554312 = 52108888731958391522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5104355393 and 5104355402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104355401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18975165 + ... + 18975433.

It is an arithmetic number, because the mean of its divisors is an integer number (131584500).

Almost surely, 25104355431 is an apocalyptic number.

5104355431 is a deficient number, since it is larger than the sum of its proper divisors (1211700569).

5104355431 is a wasteful number, since it uses less digits than its factorization.

5104355431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 5104355431 is about 71444.7718941001. The cubic root of 5104355431 is about 1721.7904817023.

Adding to 5104355431 its reverse (1345534015), we get a palindrome (6449889446).

The spelling of 5104355431 in words is "five billion, one hundred four million, three hundred fifty-five thousand, four hundred thirty-one".

Divisors: 1 7 23 49 113 149 161 269 791 1043 1127 1883 2599 3427 5537 6187 7301 13181 16837 18193 23989 30397 40081 43309 117859 127351 167923 212779 280567 303163 387251 699131 825013 921863 1489453 1963969 2710757 4529153 4893917 6453041 18975299 31704071 34257419 45171287 104170519 221928497 729193633 5104355431