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427086859290 = 2357131097142609
BaseRepresentation
bin1100011011100000101…
…11000100110000011010
31111211101102021101120120
412031300113010300122
523444133213444130
6524111225334110
742566416256160
oct6156027046032
91454342241516
10427086859290
11155143441723
126a932637336
1331374311430
1416957775230
15b1998d9910
hex63705c4c1a

427086859290 has 128 divisors (see below), whose sum is σ = 1262707729920. Its totient is φ = 90027859968.

The previous prime is 427086859289. The next prime is 427086859301. The reversal of 427086859290 is 92958680724.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 2923506 + ... + 3066114.

It is an arithmetic number, because the mean of its divisors is an integer number (9864904140).

Almost surely, 2427086859290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427086859290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631353864960).

427086859290 is an abundant number, since it is smaller than the sum of its proper divisors (835620870630).

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

427086859290 is a wasteful number, since it uses less digits than its factorization.

427086859290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143736.

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 427086859290 in words is "four hundred twenty-seven billion, eighty-six million, eight hundred fifty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1097 1365 2194 2730 3291 5485 6582 7679 10970 14261 15358 16455 23037 28522 32910 38395 42783 46074 71305 76790 85566 99827 115185 142609 142610 199654 213915 230370 285218 299481 427827 427830 499135 598962 713045 855654 998263 998270 1426090 1497405 1853917 1996526 2139135 2994789 2994810 3707834 4278270 4991315 5561751 5989578 9269585 9982630 11123502 12977419 14973945 18539170 25954838 27808755 29947890 38932257 55617510 64887095 77864514 129774190 156442073 194661285 312884146 389322570 469326219 782210365 938652438 1095094511 1564420730 2033746949 2190189022 2346631095 3285283533 4067493898 4693262190 5475472555 6101240847 6570567066 10168734745 10950945110 12202481694 14236228643 16426417665 20337469490 28472457286 30506204235 32852835330 42708685929 61012408470 71181143215 85417371858 142362286430 213543429645 427086859290