Search a number
-
+
706722241166106 = 231183385333483259
BaseRepresentation
bin1010000010110000101001100…
…0001000111011101100011010
310102200021222122002220221210220
42200230022120020323230122
51220112414122214303411
610543023414321020510
7301600665646516164
oct24054123010735432
93380258562827726
10706722241166106
11195202245a22480
126731b608784736
13244458102400b9
14c673778d71934
1556a8702397b06
hex282c29823bb1a

706722241166106 has 64 divisors (see below), whose sum is σ = 1560922078947840. Its totient is φ = 211523116098240.

The previous prime is 706722241166099. The next prime is 706722241166113. The reversal of 706722241166106 is 601661142227607.

It is an interprime number because it is at equal distance from previous prime (706722241166099) and next prime (706722241166113).

It is a super-4 number, since 4×7067222411661064 (a number of 60 digits) contains 4444 as substring.

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, 4365105 + ... + 37848363.

It is an arithmetic number, because the mean of its divisors is an integer number (24389407483560).

Almost surely, 2706722241166106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706722241166106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780461039473920).

706722241166106 is an abundant number, since it is smaller than the sum of its proper divisors (854199837781734).

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

706722241166106 is a wasteful number, since it uses less digits than its factorization.

706722241166106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33487211.

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 706722241166106 in words is "seven hundred six trillion, seven hundred twenty-two billion, two hundred forty-one million, one hundred sixty-six thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1826 2739 3853 5478 7706 11559 23118 42383 84766 127149 254298 319799 639598 959397 1918794 3517789 7035578 10553367 21106734 33483259 66966518 100449777 200899554 368315849 736631698 1104947547 2209895094 2779110497 5558220994 8337331491 16674662982 30570215467 61140430934 91710646401 129010996927 183421292802 258021993854 387032990781 774065981562 1419120966197 2838241932394 4257362898591 8514725797182 10707912744941 21415825489882 32123738234823 64247476469646 117787040194351 235574080388702 353361120583053 706722241166106