Search a number
-
+
3000278025060 = 2235192239579569
BaseRepresentation
bin101011101010001110100…
…000011000001101100100
3101121211020112102102010120
4223222032200120031210
5343124032133300220
610214150402321540
7426522454300551
oct53521640301544
911554215372116
103000278025060
11a57457801058
124055830592b0
13189c04305684
14a52ddbc9a28
155309dd61a40
hex2ba8e818364

3000278025060 has 144 divisors (see below), whose sum is σ = 8903307974400. Its totient is φ = 754792270848.

The previous prime is 3000278025053. The next prime is 3000278025061. The reversal of 3000278025060 is 605208720003.

It is not an unprimeable number, because it can be changed into a prime (3000278025061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4886956 + ... + 5466524.

It is an arithmetic number, because the mean of its divisors is an integer number (61828527600).

Almost surely, 23000278025060 is an apocalyptic number.

3000278025060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000278025060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451653987200).

3000278025060 is an abundant number, since it is smaller than the sum of its proper divisors (5903029949340).

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

3000278025060 is a wasteful number, since it uses less digits than its factorization.

3000278025060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579858 (or 579837 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 3000278025060 in words is "three trillion, two hundred seventy-eight million, twenty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 239 285 361 380 478 570 717 722 956 1083 1140 1195 1434 1444 1805 2166 2390 2868 3585 3610 4332 4541 4780 5415 7170 7220 9082 10830 13623 14340 18164 21660 22705 27246 45410 54492 68115 86279 90820 136230 172558 258837 272460 345116 431395 517674 579569 862790 1035348 1159138 1294185 1725580 1738707 2318276 2588370 2897845 3477414 5176740 5795690 6954828 8693535 11011811 11591380 17387070 22023622 33035433 34774140 44047244 55059055 66070866 110118110 132141732 138516991 165177165 209224409 220236220 277033982 330354330 415550973 418448818 554067964 627673227 660708660 692584955 831101946 836897636 1046122045 1255346454 1385169910 1662203892 2077754865 2092244090 2510692908 2631822829 2770339820 3138366135 4155509730 4184488180 5263645658 6276732270 7895468487 8311019460 10527291316 12553464540 13159114145 15790936974 26318228290 31581873948 39477342435 50004633751 52636456580 78954684870 100009267502 150013901253 157909369740 200018535004 250023168755 300027802506 500046337510 600055605012 750069506265 1000092675020 1500139012530 3000278025060