Search a number
-
+
27422101120005 = 3351721813883207
BaseRepresentation
bin1100011110000101101001…
…00110001010010000000101
310121002112020101011002002000
412033002310212022100011
512043240430341320010
6134153312255335513
75530116141430254
oct617026446122005
9117075211132060
1027422101120005
11881271420a309
1230aa706221599
13123bb7c015ba7
146ab3459da79b
153284a23d37c0
hex18f0b498a405

27422101120005 has 96 divisors (see below), whose sum is σ = 52072887310080. Its totient is φ = 13688767134720.

The previous prime is 27422101119989. The next prime is 27422101120009. The reversal of 27422101120005 is 50002110122472.

It is a happy number.

27422101120005 is a `hidden beast` number, since 27 + 422 + 1 + 0 + 11 + 200 + 0 + 5 = 666.

It is not a de Polignac number, because 27422101120005 - 24 = 27422101119989 is a prime.

It is a super-2 number, since 2×274221011200052 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27422101120009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5120112 + ... + 9003318.

It is an arithmetic number, because the mean of its divisors is an integer number (542425909480).

Almost surely, 227422101120005 is an apocalyptic number.

It is an amenable number.

27422101120005 is a deficient number, since it is larger than the sum of its proper divisors (24650786190075).

27422101120005 is a wasteful number, since it uses less digits than its factorization.

27422101120005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883436 (or 3883413 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 27422101120005 its reverse (50002110122472), we get a palindrome (77424211242477).

The spelling of 27422101120005 in words is "twenty-seven trillion, four hundred twenty-two billion, one hundred one million, one hundred twenty thousand, five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 181 255 289 459 543 765 867 905 1445 1629 2295 2601 2715 3077 4335 4887 7803 8145 9231 13005 15385 24435 27693 39015 46155 52309 83079 138465 156927 261545 415395 470781 784635 1412343 2353905 3883207 7061715 11649621 19416035 34948863 58248105 66014519 104846589 174744315 198043557 330072595 524232945 594130671 702860467 990217785 1122246823 1782392013 2108581401 2970653355 3366740469 3514302335 5611234115 6325744203 8911960065 10100221407 10542907005 11948627939 16833702345 18977232609 30300664221 31628721015 35845883817 50501107035 59743139695 94886163045 107537651451 151503321105 179229419085 203126674963 322612954353 537688257255 609380024889 1015633374815 1613064771765 1828140074667 3046900124445 5484420224001 9140700373335 27422101120005