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5985485730 = 2325722359011
BaseRepresentation
bin1011001001100001…
…10100001110100010
3120110010202011211200
411210300310032202
544224241020410
62425533422030
7301216534500
oct54460641642
916403664750
105985485730
1125a1718024
1211b063a916
13745086543
1440ad11670
1525071c3c0
hex164c343a2

5985485730 has 144 divisors (see below), whose sum is σ = 18890449344. Its totient is φ = 1308605760.

The previous prime is 5985485719. The next prime is 5985485777. The reversal of 5985485730 is 375845895.

5985485730 is a `hidden beast` number, since 5 + 98 + 5 + 485 + 73 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71925 + ... + 130935.

It is an arithmetic number, because the mean of its divisors is an integer number (131183676).

Almost surely, 25985485730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5985485730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9445224672).

5985485730 is an abundant number, since it is smaller than the sum of its proper divisors (12904963614).

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

5985485730 is a wasteful number, since it uses less digits than its factorization.

5985485730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59061 (or 59051 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The square root of 5985485730 is about 77365.9209859225. The cubic root of 5985485730 is about 1815.6541775927.

It can be divided in two parts, 598 and 5485730, that added together give a triangular number (5486328 = T3312).

The spelling of 5985485730 in words is "five billion, nine hundred eighty-five million, four hundred eighty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 49 63 69 70 90 98 105 115 126 138 147 161 207 210 230 245 294 315 322 345 414 441 483 490 630 690 735 805 882 966 1035 1127 1449 1470 1610 2070 2205 2254 2415 2898 3381 4410 4830 5635 6762 7245 10143 11270 14490 16905 20286 33810 50715 59011 101430 118022 177033 295055 354066 413077 531099 590110 826154 885165 1062198 1239231 1357253 1770330 2065385 2478462 2655495 2714506 2891539 3717693 4071759 4130770 5310990 5783078 6196155 6786265 7435386 8143518 8674617 9500771 12215277 12392310 13572530 14457695 17349234 18588465 19001542 20358795 24430554 26023851 28502313 28915390 37176930 40717590 43373085 47503855 52047702 57004626 61076385 66505397 85506939 86746170 95007710 122152770 130119255 133010794 142511565 171013878 199516191 260238510 285023130 332526985 399032382 427534695 598548573 665053970 855069390 997580955 1197097146 1995161910 2992742865 5985485730