Search a number
-
+
146632397424 = 2435357638521
BaseRepresentation
bin1000100010001111111…
…0001101001001110000
3112000111001201120121020
42020203332031021300
54400300343204144
6151210105055440
713410454545642
oct2104376151160
9460431646536
10146632397424
1157206190527
1224502a87580
1310a9a98a906
147150418892
153c33126419
hex2223f8d270

146632397424 has 40 divisors (see below), whose sum is σ = 385947543312. Its totient is φ = 47955248640.

The previous prime is 146632397423. The next prime is 146632397437. The reversal of 146632397424 is 424793236641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146632397423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28816717 + ... + 28821804.

Almost surely, 2146632397424 is an apocalyptic number.

It is an amenable number.

146632397424 is an abundant number, since it is smaller than the sum of its proper divisors (239315145888).

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

146632397424 is a wasteful number, since it uses less digits than its factorization.

146632397424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57638585 (or 57638579 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

The spelling of 146632397424 in words is "one hundred forty-six billion, six hundred thirty-two million, three hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 57638521 115277042 172915563 230554084 345831126 461108168 691662252 922216336 1383324504 2766649008 3054841613 6109683226 9164524839 12219366452 18329049678 24438732904 36658099356 48877465808 73316198712 146632397424