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542413021332 = 223713827600623
BaseRepresentation
bin1111110010010100101…
…01011110000010010100
31220212001200210102201110
413321022111132002110
532341330213140312
61053103041255020
754121333415640
oct7711225360224
91825050712643
10542413021332
1119a044012146
1289159034470
133c1c30c7ac0
141c37807dc20
15e1993b443c
hex7e4a55e094

542413021332 has 96 divisors (see below), whose sum is σ = 1559585083392. Its totient is φ = 142880766336.

The previous prime is 542413021291. The next prime is 542413021453. The reversal of 542413021332 is 233120314245.

It is a self number, because there is not a number n which added to its sum of digits gives 542413021332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602773 + ... + 1203395.

It is an arithmetic number, because the mean of its divisors is an integer number (16245677952).

Almost surely, 2542413021332 is an apocalyptic number.

542413021332 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542413021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779792541696).

542413021332 is an abundant number, since it is smaller than the sum of its proper divisors (1017172062060).

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

542413021332 is a wasteful number, since it uses less digits than its factorization.

542413021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601477 (or 601475 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 542413021332 its reverse (233120314245), we get a palindrome (775533335577).

The spelling of 542413021332 in words is "five hundred forty-two billion, four hundred thirteen million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 827 1092 1654 2481 3308 4962 5789 9924 10751 11578 17367 21502 23156 32253 34734 43004 64506 69468 75257 129012 150514 225771 301028 451542 600623 903084 1201246 1801869 2402492 3603738 4204361 7207476 7808099 8408722 12613083 15616198 16817444 23424297 25226166 31232396 46848594 50452332 54656693 93697188 109313386 163970079 218626772 327940158 496715221 655880316 993430442 1490145663 1986860884 2980291326 3477006547 5960582652 6457297873 6954013094 10431019641 12914595746 13908026188 19371893619 20862039282 25829191492 38743787238 41724078564 45201085111 77487574476 90402170222 135603255333 180804340444 271206510666 542413021332