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42425105220 = 2232559267709
BaseRepresentation
bin100111100000101110…
…111011101101000100
311001111200022122110100
4213200232323231010
51143341311331340
631253445124100
73031222305261
oct474056735504
9131450278410
1042425105220
1116aa0958533
1282800b9630
13400161b274
1420a66c4268
15118486b830
hex9e0bbbb44

42425105220 has 108 divisors (see below), whose sum is σ = 130909566060. Its totient is φ = 11121445248.

The previous prime is 42425105209. The next prime is 42425105231. The reversal of 42425105220 is 2250152424.

42425105220 is a `hidden beast` number, since 4 + 2 + 425 + 10 + 5 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (42425105209) and next prime (42425105231).

It can be written as a sum of positive squares in 2 ways, for example, as 6287855616 + 36137249604 = 79296^2 + 190098^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592726 + ... + 660434.

Almost surely, 242425105220 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 42425105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65454783030).

42425105220 is an abundant number, since it is smaller than the sum of its proper divisors (88484460840).

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

42425105220 is a wasteful number, since it uses less digits than its factorization.

42425105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67842 (or 67778 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 42425105220 its reverse (2250152424), we get a palindrome (44675257644).

The spelling of 42425105220 in words is "forty-two billion, four hundred twenty-five million, one hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3481 3540 5310 6962 10443 10620 13924 17405 20886 31329 34810 41772 52215 62658 67709 69620 104430 125316 135418 156645 203127 208860 270836 313290 338545 406254 609381 626580 677090 812508 1015635 1218762 1354180 2031270 2437524 3046905 3994831 4062540 6093810 7989662 11984493 12187620 15979324 19974155 23968986 35953479 39948310 47937972 59922465 71906958 79896620 119844930 143813916 179767395 235695029 239689860 359534790 471390058 707085087 719069580 942780116 1178475145 1414170174 2121255261 2356950290 2828340348 3535425435 4242510522 4713900580 7070850870 8485021044 10606276305 14141701740 21212552610 42425105220