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543124995138 = 2321197107264289
BaseRepresentation
bin1111110011101001100…
…01011011110001000010
31220220220022111110011200
413321310301123301002
532344304444321023
61053301433322030
754145100200215
oct7716461336102
91826808443150
10543124995138
1119a37999a650
1289317566316
133c2a776a28b
141c40485377c
15e1dbb4e743
hex7e74c5bc42

543124995138 has 96 divisors (see below), whose sum is σ = 1309110828480. Its totient is φ = 161363681280.

The previous prime is 543124995079. The next prime is 543124995169. The reversal of 543124995138 is 831599421345.

543124995138 is a `hidden beast` number, since 5 + 4 + 3 + 12 + 499 + 5 + 138 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1922898 + ... + 2187186.

It is an arithmetic number, because the mean of its divisors is an integer number (13636571130).

Almost surely, 2543124995138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543124995138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654555414240).

543124995138 is an abundant number, since it is smaller than the sum of its proper divisors (765985833342).

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

543124995138 is a wasteful number, since it uses less digits than its factorization.

543124995138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264512 (or 264509 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 543124995138 in words is "five hundred forty-three billion, one hundred twenty-four million, nine hundred ninety-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 107 194 198 214 291 321 582 642 873 963 1067 1177 1746 1926 2134 2354 3201 3531 6402 7062 9603 10379 10593 19206 20758 21186 31137 62274 93411 114169 186822 228338 264289 342507 528578 685014 792867 1027521 1585734 2055042 2378601 2907179 4757202 5814358 8721537 17443074 25636033 26164611 28278923 51272066 52329222 56557846 76908099 84836769 153816198 169673538 230724297 254510307 281996363 311068153 461448594 509020614 563992726 622136306 845989089 933204459 1691978178 1866408918 2537967267 2743055531 2799613377 5075934534 5486111062 5599226754 8229166593 16458333186 24687499779 30173610841 49374999558 60347221682 90520832523 181041665046 271562497569 543124995138