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427330014570 = 232531726095741
BaseRepresentation
bin1100011011111101101…
…10101000110101101010
31111212000100210221220200
412031332312220311222
524000132440431240
6524151313133030
742605431122534
oct6157666506552
91455010727820
10427330014570
1115525871a8a8
126a99bb5a176
13313b27c84b4
141697bb8c854
15b1b0e1a930
hex637eda8d6a

427330014570 has 96 divisors (see below), whose sum is σ = 1115184367440. Its totient is φ = 113531873280.

The previous prime is 427330014569. The next prime is 427330014571. The reversal of 427330014570 is 75410033724.

427330014570 is a `hidden beast` number, since 4 + 2 + 73 + 3 + 0 + 0 + 14 + 570 = 666.

It is an interprime number because it is at equal distance from previous prime (427330014569) and next prime (427330014571).

It can be written as a sum of positive squares in 8 ways, for example, as 74747013201 + 352583001369 = 273399^2 + 593787^2 .

It is a super-2 number, since 2×4273300145702 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (427330014571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74431900 + ... + 74437640.

Almost surely, 2427330014570 is an apocalyptic number.

427330014570 is an abundant number, since it is smaller than the sum of its proper divisors (687854352870).

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

427330014570 is a wasteful number, since it uses less digits than its factorization.

427330014570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8680 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 427330014570 in words is "four hundred twenty-seven billion, three hundred thirty million, fourteen thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 317 634 951 1585 1902 2609 2853 3170 4755 5218 5706 5741 7827 9510 11482 13045 14265 15654 17223 23481 26090 28530 28705 34446 39135 46962 51669 57410 78270 86115 103338 117405 172230 234810 258345 516690 827053 1654106 1819897 2481159 3639794 4135265 4962318 5459691 7443477 8270530 9099485 10919382 12405795 14886954 14978269 16379073 18198970 24811590 27298455 29956538 32758146 37217385 44934807 54596910 74434770 74891345 81895365 89869614 134804421 149782690 163790730 224674035 269608842 449348070 674022105 1348044210 4748111273 9496222546 14244333819 23740556365 28488667638 42733001457 47481112730 71221669095 85466002914 142443338190 213665007285 427330014570