Search a number
-
+
543431435122152 = 233210434772332303
BaseRepresentation
bin111101110001111110111110…
…1101001100111010111101000
32122021010112112002001222001100
41323203331331221213113220
51032212040034342402102
65203440542125321400
7222315424363352133
oct17343757551472750
92567115462058040
10543431435122152
11148176a82997505
1250b487a0106260
131a42c4978b9775
14982a31689121a
1542c5d73362a1c
hex1ee3f7da675e8

543431435122152 has 48 divisors (see below), whose sum is σ = 1471807595269440. Its totient is φ = 181142073227808.

The previous prime is 543431435122139. The next prime is 543431435122181. The reversal of 543431435122152 is 251221534134345.

543431435122152 is a `hidden beast` number, since 5 + 4 + 3 + 43 + 1 + 43 + 512 + 2 + 1 + 52 = 666.

It is a super-2 number, since 2×5434314351221522 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 543431435122098 and 543431435122107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28653168 + ... + 43679135.

It is an arithmetic number, because the mean of its divisors is an integer number (30662658234780).

Almost surely, 2543431435122152 is an apocalyptic number.

It is an amenable number.

543431435122152 is an abundant number, since it is smaller than the sum of its proper divisors (928376160147288).

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

543431435122152 is a wasteful number, since it uses less digits than its factorization.

543431435122152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72436662 (or 72436655 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

Adding to 543431435122152 its reverse (251221534134345), we get a palindrome (794652969256497).

The spelling of 543431435122152 in words is "five hundred forty-three trillion, four hundred thirty-one billion, four hundred thirty-five million, one hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 104347 208694 313041 417388 626082 834776 939123 1252164 1878246 2504328 3756492 7512984 72332303 144664606 216996909 289329212 433993818 578658424 650990727 867987636 1301981454 1735975272 2603962908 5207925816 7547658821141 15095317642282 22642976463423 30190635284564 45285952926846 60381270569128 67928929390269 90571905853692 135857858780538 181143811707384 271715717561076 543431435122152