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42427966830 = 23523197457683
BaseRepresentation
bin100111100000111001…
…110110010101101110
311001111212201000211220
4213200321312111232
51143343024414310
631254030324210
73031255524204
oct474071662556
9131455630756
1042427966830
1116aa25324a7
128281059666
1340020b0922
1420a6c2b074
151184c34670
hex9e0e7656e

42427966830 has 128 divisors (see below), whose sum is σ = 107184135168. Its totient is φ = 10727980032.

The previous prime is 42427966811. The next prime is 42427966849. The reversal of 42427966830 is 3866972424.

It is an interprime number because it is at equal distance from previous prime (42427966811) and next prime (42427966849).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62119669 + ... + 62120351.

It is an arithmetic number, because the mean of its divisors is an integer number (837376056).

Almost surely, 242427966830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42427966830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53592067584).

42427966830 is an abundant number, since it is smaller than the sum of its proper divisors (64756168338).

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

42427966830 is a wasteful number, since it uses less digits than its factorization.

42427966830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370.

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 42427966830 in words is "forty-two billion, four hundred twenty-seven million, nine hundred sixty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 197 230 345 394 457 591 683 690 914 985 1182 1366 1371 1970 2049 2285 2742 2955 3415 4098 4531 4570 5910 6830 6855 9062 10245 10511 13593 13710 15709 20490 21022 22655 27186 31418 31533 45310 47127 52555 63066 67965 78545 90029 94254 105110 134551 135930 157090 157665 180058 235635 269102 270087 312131 315330 403653 450145 471270 540174 624262 672755 807306 900290 936393 1345510 1350435 1560655 1872786 2018265 2070667 2700870 3094673 3121310 4036530 4141334 4681965 6189346 6212001 7179013 9284019 9363930 10353335 12424002 14358026 15473365 18568038 20706670 21537039 30946730 31060005 35895065 43074078 46420095 61489807 62120010 71790130 92840190 107685195 122979614 184469421 215370390 307449035 368938842 614898070 922347105 1414265561 1844694210 2828531122 4242796683 7071327805 8485593366 14142655610 21213983415 42427966830