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2543243146542 = 2327212312342401
BaseRepresentation
bin100101000000100101000…
…110101011010100101110
3100000010112222200000101200
4211000211012223110232
5313132030221142132
65224203314550330
7351512636030100
oct45004506532456
910003488600350
102543243146542
118a06464aa31a
12350a92b983a6
13155a9962c007
148b144c9b570
15462501b9d7c
hex250251ab52e

2543243146542 has 72 divisors (see below), whose sum is σ = 6415220683872. Its totient is φ = 726050304000.

The previous prime is 2543243146463. The next prime is 2543243146547. The reversal of 2543243146542 is 2456413423452.

2543243146542 is a `hidden beast` number, since 2 + 5 + 4 + 32 + 4 + 31 + 46 + 542 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543243146547) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85459 + ... + 2256942.

It is an arithmetic number, because the mean of its divisors is an integer number (89100287276).

Almost surely, 22543243146542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543243146542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207610341936).

2543243146542 is an abundant number, since it is smaller than the sum of its proper divisors (3871977537330).

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

2543243146542 is a wasteful number, since it uses less digits than its factorization.

2543243146542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343654 (or 2343644 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 2543243146542 its reverse (2456413423452), we get a palindrome (4999656569994).

The spelling of 2543243146542 in words is "two trillion, five hundred forty-three billion, two hundred forty-three million, one hundred forty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1231 2462 3693 7386 8617 11079 17234 22158 25851 51702 60319 77553 120638 155106 180957 361914 542871 1085742 2342401 4684802 7027203 14054406 16396807 21081609 32793614 42163218 49190421 98380842 114777649 147571263 229555298 295142526 344332947 688665894 1032998841 2065997682 2883495631 5766991262 8650486893 17300973786 20184469417 25951460679 40368938834 51902921358 60553408251 121106816502 141291285919 181660224753 282582571838 363320449506 423873857757 847747715514 1271621573271 2543243146542