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42526214325 = 3352724632777
BaseRepresentation
bin100111100110110000…
…101000100010110101
311001202201120112002000
4213212300220202311
51144043202324300
631311500205513
73033560600100
oct474660504265
9131681515060
1042526214325
1117042a37281
1282a9b39899
13401955c83a
1420b5cc3737
15118d68ec00
hex9e6c288b5

42526214325 has 144 divisors (see below), whose sum is σ = 91105954560. Its totient is φ = 19391581440.

The previous prime is 42526214317. The next prime is 42526214383. The reversal of 42526214325 is 52341262524.

42526214325 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 621 + 4 + 3 + 25 = 666.

It is not a de Polignac number, because 42526214325 - 23 = 42526214317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42526214325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15312337 + ... + 15315113.

It is an arithmetic number, because the mean of its divisors is an integer number (632680240).

Almost surely, 242526214325 is an apocalyptic number.

42526214325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42526214325 is an abundant number, since it is smaller than the sum of its proper divisors (48579740235).

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

42526214325 is a wasteful number, since it uses less digits than its factorization.

42526214325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3255 counting only the distinct ones).

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

Adding to 42526214325 its reverse (52341262524), we get a palindrome (94867476849).

The spelling of 42526214325 in words is "forty-two billion, five hundred twenty-six million, two hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 175 189 225 245 315 441 463 525 675 735 945 1225 1323 1389 1575 2205 2315 2777 3241 3675 4167 4725 6615 6945 8331 9723 11025 11575 12501 13885 16205 19439 20835 22687 24993 29169 33075 34725 41655 48615 58317 62505 68061 69425 74979 81025 87507 97195 104175 113435 124965 136073 145845 174951 204183 208275 243075 291585 312525 340305 374895 408219 437535 485975 524853 567175 612549 624825 680365 729225 874755 1020915 1224657 1285751 1457925 1701525 1874475 2041095 2187675 2624265 3062745 3401825 3673971 3857253 4373775 5104575 6123285 6428755 9000257 10205475 11571759 13121325 15313725 18369855 19286265 27000771 30616425 32143775 34715277 45001285 57858795 63001799 81002313 91849275 96431325 135003855 173576385 189005397 225006425 243006939 289293975 315008995 405011565 567016191 675019275 867881925 945026985 1215034695 1575044975 1701048573 2025057825 2835080955 4725134925 6075173475 8505242865 14175404775 42526214325