Search a number
-
+
146540252386 = 211217310093469
BaseRepresentation
bin1000100001111001111…
…0101100110011100010
3112000020122100010101001
42020132132230303202
54400103301034021
6151153014102214
713405255410343
oct2103636546342
9460218303331
10146540252386
1157169174600
122449804a96a
1310a84867518
1471420b00ca
153c29ec4091
hex221e7acce2

146540252386 has 48 divisors (see below), whose sum is σ = 243317302200. Its totient is φ = 66139476480.

The previous prime is 146540252381. The next prime is 146540252387. The reversal of 146540252386 is 683252045641.

It is a happy number.

146540252386 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 105150384361 + 41389868025 = 324269^2 + 203445^2 .

It is not an unprimeable number, because it can be changed into a prime (146540252381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42241060 + ... + 42244528.

Almost surely, 2146540252386 is an apocalyptic number.

146540252386 is a deficient number, since it is larger than the sum of its proper divisors (96777049814).

146540252386 is a wasteful number, since it uses less digits than its factorization.

146540252386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 146540252386 in words is "one hundred forty-six billion, five hundred forty million, two hundred fifty-two thousand, three hundred eighty-six".

Divisors: 1 2 11 22 121 173 242 346 1009 1903 2018 3469 3806 6938 11099 20933 22198 38159 41866 76318 122089 174557 244178 349114 419749 600137 839498 1200274 1920127 3500221 3840254 6601507 7000442 13203014 21121397 38502431 42242794 72616577 77004862 145233154 423526741 605538233 847053482 1211076466 6660920563 13321841126 73270126193 146540252386