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542423615220 = 223254438877669
BaseRepresentation
bin1111110010010101111…
…01111000011011110100
31220212002102201122210200
413321022331320123310
532341340421141340
61053104100320500
754121522440624
oct7711275703364
91825072648720
10542423615220
1119a049a98523
12891606a3130
133c1c5366a86
141c37963a884
15e19a2a8330
hex7e4af786f4

542423615220 has 144 divisors (see below), whose sum is σ = 1651140167040. Its totient is φ = 144138279168.

The previous prime is 542423615207. The next prime is 542423615231. The reversal of 542423615220 is 22516324245.

542423615220 is a `hidden beast` number, since 5 + 4 + 2 + 423 + 6 + 1 + 5 + 220 = 666.

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

It is a congruent number.

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, 70725546 + ... + 70733214.

It is an arithmetic number, because the mean of its divisors is an integer number (11466251160).

Almost surely, 2542423615220 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 542423615220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825570083520).

542423615220 is an abundant number, since it is smaller than the sum of its proper divisors (1108716551820).

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

542423615220 is a wasteful number, since it uses less digits than its factorization.

542423615220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9014 (or 9009 counting only the distinct ones).

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

Adding to 542423615220 its reverse (22516324245), we get a palindrome (564939939465).

The spelling of 542423615220 in words is "five hundred forty-two billion, four hundred twenty-three million, six hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443 886 887 1329 1772 1774 2215 2658 2661 3548 3987 4430 4435 5316 5322 6645 7669 7974 7983 8860 8870 10644 13290 13305 15338 15948 15966 17740 19935 23007 26580 26610 30676 31932 38345 39870 39915 46014 53220 69021 76690 79740 79830 92028 115035 138042 153380 159660 230070 276084 345105 392941 460140 690210 785882 1178823 1380420 1571764 1964705 2357646 3397367 3536469 3929410 4715292 5894115 6794734 6802403 7072938 7858820 10192101 11788230 13589468 13604806 14145876 16986835 17682345 20384202 20407209 23576460 27209612 30576303 33973670 34012015 35364690 40768404 40814418 50960505 61152606 61221627 67947340 68024030 70729380 81628836 101921010 102036045 122305212 122443254 136048060 152881515 203842020 204072090 244886508 305763030 306108135 408144180 611526060 612216270 1224432540 3013464529 6026929058 9040393587 12053858116 15067322645 18080787174 27121180761 30134645290 36161574348 45201967935 54242361522 60269290580 90403935870 108484723044 135605903805 180807871740 271211807610 542423615220