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42467515530 = 235113714872339
BaseRepresentation
bin100111100011010000…
…101101110010001010
311001121122010022110120
4213203100231302022
51143433140444110
631302002124110
73032245632426
oct474320556212
9131548108416
1042467515530
1117012894a80
128292350636
13400a349c1b
1420ac1a3b86
151188447870
hex9e342dc8a

42467515530 has 128 divisors (see below), whose sum is σ = 114318397440. Its totient is φ = 10005891840.

The previous prime is 42467515511. The next prime is 42467515547. The reversal of 42467515530 is 3551576424.

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 63 ways as a sum of consecutive naturals, for example, 18155101 + ... + 18157439.

It is an arithmetic number, because the mean of its divisors is an integer number (893112480).

Almost surely, 242467515530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42467515530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57159198720).

42467515530 is an abundant number, since it is smaller than the sum of its proper divisors (71850881910).

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

42467515530 is a wasteful number, since it uses less digits than its factorization.

42467515530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884.

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 42467515530 in words is "forty-two billion, four hundred sixty-seven million, five hundred fifteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 1487 2035 2339 2442 2974 4070 4461 4678 6105 7017 7435 8922 11695 12210 14034 14870 16357 22305 23390 25729 32714 35085 44610 49071 51458 55019 70170 77187 81785 86543 98142 110038 128645 154374 163570 165057 173086 245355 257290 259629 275095 330114 385935 432715 490710 519258 550190 605209 771870 825285 865430 951973 1210418 1298145 1650570 1815627 1903946 2596290 2855919 3026045 3478093 3631254 4759865 5711838 6052090 6956186 9078135 9519730 10434279 14279595 17390465 18156270 20868558 28559190 34780930 38259023 52171395 76518046 104342790 114777069 128689441 191295115 229554138 257378882 382590230 386068323 573885345 643447205 772136646 1147770690 1286894410 1415583851 1930341615 2831167702 3860683230 4246751553 7077919255 8493503106 14155838510 21233757765 42467515530