Search a number
-
+
2667078529134 = 2317107578342257
BaseRepresentation
bin100110110011111010010…
…001001011000001101110
3100102222012021210020201020
4212303322101023001232
5322144134100413014
65401123340555010
7363455456305665
oct46637221130156
910388167706636
102667078529134
11939113332118
12370a93252a66
131646732bb726
1493131745ddc
154959bc2a1a9
hex26cfa44b06e

2667078529134 has 64 divisors (see below), whose sum is σ = 5701836105216. Its totient is φ = 828747659264.

The previous prime is 2667078529121. The next prime is 2667078529207. The reversal of 2667078529134 is 4319258707662.

2667078529134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26670785291342 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63094534 + ... + 63136790.

It is an arithmetic number, because the mean of its divisors is an integer number (89091189144).

It is a 1-persistent number, because it is pandigital, but 2⋅2667078529134 = 5334157058268 is not.

Almost surely, 22667078529134 is an apocalyptic number.

2667078529134 is an abundant number, since it is smaller than the sum of its proper divisors (3034757576082).

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

2667078529134 is a wasteful number, since it uses less digits than its factorization.

2667078529134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48169.

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 2667078529134 in words is "two trillion, six hundred sixty-seven billion, seventy-eight million, five hundred twenty-nine thousand, one hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 102 107 214 321 642 1819 3638 5457 5783 10914 11566 17349 34698 42257 84514 98311 126771 196622 253542 294933 589866 618781 718369 1237562 1436738 1856343 2155107 3712686 4310214 4521499 9042998 10519277 13564497 21038554 27128994 31557831 63115662 76865483 153730966 230596449 244372231 461192898 488744462 733116693 1466233386 4154327927 8308655854 12462983781 24925967562 26147828717 52295657434 78443486151 156886972302 444513088189 889026176378 1333539264567 2667078529134