Search a number
-
+
542512240236 = 2232229244126959
BaseRepresentation
bin1111110010100000011…
…11111101011001101100
31220212022121111021110200
413321100033331121230
532342031113141421
61053120544033500
754123646645611
oct7712017753154
91825277437420
10542512240236
1119a09501a83a
1289186302890
133c20a826c05
141c38730a508
15e1a2e62726
hex7e503fd66c

542512240236 has 72 divisors (see below), whose sum is σ = 1377954177600. Its totient is φ = 179967294720.

The previous prime is 542512240147. The next prime is 542512240253. The reversal of 542512240236 is 632042215245.

542512240236 is a `hidden beast` number, since 5 + 425 + 1 + 224 + 0 + 2 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 542512240236.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20110125 + ... + 20137083.

Almost surely, 2542512240236 is an apocalyptic number.

It is an amenable number.

542512240236 is an abundant number, since it is smaller than the sum of its proper divisors (835441937364).

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

542512240236 is a wasteful number, since it uses less digits than its factorization.

542512240236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29639 (or 29634 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 542512240236 in words is "five hundred forty-two billion, five hundred twelve million, two hundred forty thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2441 2748 4122 4882 7323 8244 9764 14646 21969 26959 29292 43938 53918 80877 87876 107836 161754 242631 323508 485262 558989 970524 1117978 1676967 2235956 3353934 5030901 6173611 6707868 10061802 12347222 18520833 20123604 24694444 37041666 55562499 65806919 74083332 111124998 131613838 197420757 222249996 263227676 394841514 592262271 789683028 1184524542 2369049084 15069784451 30139568902 45209353353 60279137804 90418706706 135628060059 180837413412 271256120118 542512240236