Search a number
-
+
543042355675336 = 2311181230811477127
BaseRepresentation
bin111101101111001001110011…
…0101101010100000011001000
32122012202100020110110011202021
41323132103212231110003020
51032134201221023102321
65202542114134414224
7222245341544543446
oct17336234655240310
92565670213404667
10543042355675336
11148036a7376a380
1250aa52b6201374
131a40189c8aa41a
149815566bdbb96
1542baba0563941
hex1ede4e6b540c8

543042355675336 has 64 divisors (see below), whose sum is σ = 1116954443928960. Its totient is φ = 245462890176000.

The previous prime is 543042355675289. The next prime is 543042355675361. The reversal of 543042355675336 is 633576553240345.

It is a happy number.

It is a super-3 number, since 3×5430423556753363 (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366895605 + ... + 368372731.

It is an arithmetic number, because the mean of its divisors is an integer number (17452413186390).

Almost surely, 2543042355675336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543042355675336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558477221964480).

543042355675336 is an abundant number, since it is smaller than the sum of its proper divisors (573912088253624).

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

543042355675336 is a wasteful number, since it uses less digits than its factorization.

543042355675336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500406 (or 1500402 counting only the distinct ones).

The product of its (nonzero) digits is 408240000, while the sum is 61.

The spelling of 543042355675336 in words is "five hundred forty-three trillion, forty-two billion, three hundred fifty-five million, six hundred seventy-five thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 181 362 724 1448 1991 3982 7964 15928 23081 46162 92324 184648 253891 507782 1015564 1477127 2031128 2954254 4177661 5908508 8355322 11817016 16248397 16710644 32496794 33421288 45954271 64993588 91908542 129987176 183817084 267359987 367634168 534719974 1069439948 2138879896 2940959857 5881919714 11763839428 23527678856 34093568287 68187136574 136374273148 272748546296 375029251157 750058502314 1500117004628 3000234009256 6170935859947 12341871719894 24683743439788 49367486879576 67880294459417 135760588918834 271521177837668 543042355675336