Search a number
-
+
6181378731816 = 233833103101773
BaseRepresentation
bin101100111110011011011…
…1000100010111100101000
3210212221012220121210122020
41121330312320202330220
51302233430423404231
621051404114424440
71205406220203441
oct131746670427450
923787186553566
106181378731816
111a73565167212
12839bab292120
1335ab94817392
14175274b622c8
15aabd2734396
hex59f36e22f28

6181378731816 has 32 divisors (see below), whose sum is σ = 15639632940960. Its totient is φ = 2035634762432.

The previous prime is 6181378731793. The next prime is 6181378731817.

6181378731816 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61813787318162 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6181378731816.

It is not an unprimeable number, because it can be changed into a prime (6181378731817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1551548895 + ... + 1551552878.

It is an arithmetic number, because the mean of its divisors is an integer number (488738529405).

Almost surely, 26181378731816 is an apocalyptic number.

It is an amenable number.

6181378731816 is an abundant number, since it is smaller than the sum of its proper divisors (9458254209144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6181378731816 is a wasteful number, since it uses less digits than its factorization.

6181378731816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103101865 (or 3103101861 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 60.

The spelling of 6181378731816 in words is "six trillion, one hundred eighty-one billion, three hundred seventy-eight million, seven hundred thirty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 3103101773 6206203546 9309305319 12412407092 18618610638 24824814184 37237221276 74474442552 257557447159 515114894318 772672341477 1030229788636 1545344682954 2060459577272 3090689365908 6181378731816