Search a number
-
+
106662336556362 = 231672153241120507
BaseRepresentation
bin11000010000001001000010…
…101011100110110101001010
3111222122211010121221022011220
4120100021002223212311022
5102440023431124300422
61014504000112502510
731316046063404016
oct3020110253466512
9458584117838156
10106662336556362
1130a932743395a4
12bb67a6084aa36
1347692a4994842
141c4a6adba1546
15c4e7eb01ae5c
hex610242ae6d4a

106662336556362 has 64 divisors (see below), whose sum is σ = 214801267129344. Its totient is φ = 35308425069440.

The previous prime is 106662336556351. The next prime is 106662336556379. The reversal of 106662336556362 is 263655633266601.

It is a happy number.

It is a super-2 number, since 2×1066623365563622 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106662336556296 and 106662336556305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5201254513 + ... + 5201275019.

It is an arithmetic number, because the mean of its divisors is an integer number (3356269798896).

Almost surely, 2106662336556362 is an apocalyptic number.

106662336556362 is an abundant number, since it is smaller than the sum of its proper divisors (108138930572982).

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

106662336556362 is a wasteful number, since it uses less digits than its factorization.

106662336556362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25243.

The product of its (nonzero) digits is 125971200, while the sum is 60.

The spelling of 106662336556362 in words is "one hundred six trillion, six hundred sixty-two billion, three hundred thirty-six million, five hundred fifty-six thousand, three hundred sixty-two".

Divisors: 1 2 3 6 167 334 501 1002 2153 2411 4306 4822 6459 7233 12918 14466 20507 41014 61521 123042 359551 402637 719102 805274 1078653 1207911 2157306 2415822 3424669 5190883 6849338 10274007 10381766 15572649 20548014 31145298 44151571 49442377 88303142 98884754 132454713 148327131 264909426 296654262 866877461 1733754922 2600632383 5201264766 7373312357 8256876959 14746624714 16513753918 22119937071 24770630877 44239874142 49541261754 106449437681 212898875362 319348313043 638696626086 17777056092727 35554112185454 53331168278181 106662336556362