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542032464312 = 23338964743579
BaseRepresentation
bin1111110001100111010…
…01110000100110111000
31220211002011201010122000
413320303221300212320
532340040302324222
61053001204501000
754106032633153
oct7706351604670
91824064633560
10542032464312
11199969217009
12890716aa760
133c162303231
141c33d6dac9a
15e175c919ac
hex7e33a709b8

542032464312 has 128 divisors (see below), whose sum is σ = 1524951360000. Its totient is φ = 178367194368.

The previous prime is 542032464307. The next prime is 542032464317. The reversal of 542032464312 is 213464230245.

542032464312 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 3 + 2 + 4 + 643 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (542032464307) and next prime (542032464317).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542032464317) 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, 12416139 + ... + 12459717.

It is an arithmetic number, because the mean of its divisors is an integer number (11913682500).

Almost surely, 2542032464312 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 542032464312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762475680000).

542032464312 is an abundant number, since it is smaller than the sum of its proper divisors (982918895688).

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

542032464312 is a wasteful number, since it uses less digits than its factorization.

542032464312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44330 (or 44320 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 542032464312 its reverse (213464230245), we get a palindrome (755496694557).

The spelling of 542032464312 in words is "five hundred forty-two billion, thirty-two million, four hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 647 712 801 1068 1294 1602 1941 2136 2403 2588 3204 3882 4806 5176 5823 6408 7764 9612 11646 15528 17469 19224 23292 34938 43579 46584 57583 69876 87158 115166 130737 139752 172749 174316 230332 261474 345498 348632 392211 460664 518247 522948 690996 784422 1036494 1045896 1176633 1381992 1554741 1568844 2072988 2353266 3109482 3137688 3878531 4145976 4706532 6218964 7757062 9413064 11635593 12437928 15514124 23271186 28195613 31028248 34906779 46542372 56391226 69813558 84586839 93084744 104720337 112782452 139627116 169173678 209440674 225564904 253760517 279254232 338347356 418881348 507521034 676694712 761281551 837762696 1015042068 1522563102 2030084136 2509409557 3045126204 5018819114 6090252408 7528228671 10037638228 15056457342 20075276456 22584686013 30112914684 45169372026 60225829368 67754058039 90338744052 135508116078 180677488104 271016232156 542032464312