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542032346152 = 2311173124148497
BaseRepresentation
bin1111110001100111010…
…01010011110000101000
31220211002011111010112201
413320303221103300220
532340040240034102
61053001202145544
754106031631523
oct7706351236050
91824064433481
10542032346152
11199969146260
12890716522b4
133c16229150b
141c33d6a9bba
15e175c6b987
hex7e33a53c28

542032346152 has 128 divisors (see below), whose sum is σ = 1216841978880. Its totient is φ = 223469568000.

The previous prime is 542032346131. The next prime is 542032346159. The reversal of 542032346152 is 251643230245.

It is not an unprimeable number, because it can be changed into a prime (542032346159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11152368 + ... + 11200864.

It is an arithmetic number, because the mean of its divisors is an integer number (9506577960).

Almost surely, 2542032346152 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 542032346152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608420989440).

542032346152 is an abundant number, since it is smaller than the sum of its proper divisors (674809632728).

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

542032346152 is a wasteful number, since it uses less digits than its factorization.

542032346152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48803 (or 48799 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 542032346152 its reverse (251643230245), we get a palindrome (793675576397).

The spelling of 542032346152 in words is "five hundred forty-two billion, thirty-two million, three hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 124 136 187 241 248 341 374 482 527 682 748 964 1054 1364 1496 1928 2108 2651 2728 4097 4216 5302 5797 7471 8194 10604 11594 14942 16388 21208 23188 29884 32776 45067 46376 48497 59768 82181 90134 96994 127007 164362 180268 193988 254014 328724 360536 387976 508028 533467 657448 824449 1016056 1066934 1397077 1503407 1648898 2133868 2794154 3006814 3297796 4267736 5588308 6013628 6595592 9068939 11176616 11687777 12027256 16537477 18137878 23375554 25557919 33074954 36275756 46751108 51115838 66149908 72551512 93502216 102231676 128565547 132299816 198692209 204463352 257131094 281137109 362321087 397384418 514262188 562274218 724642174 794768836 1028524376 1124548436 1449284348 1589537672 2185614299 2249096872 2898568696 3985531957 4371228598 6159458479 7971063914 8742457196 12318916958 15942127828 17484914392 24637833916 31884255656 49275667832 67754043269 135508086538 271016173076 542032346152