Search a number
-
+
4278919020 = 2235372113461
BaseRepresentation
bin1111111100001011…
…0001111101101100
3102001012112121102020
43333002301331230
532230400402040
61544332030140
7211015132365
oct37702617554
912035477366
104278919020
1118a637a212
129b5002350
1353264b05c
142c83dab6c
151a09bccd0
hexff0b1f6c

4278919020 has 144 divisors (see below), whose sum is σ = 12449451168. Its totient is φ = 1097994240.

The previous prime is 4278918991. The next prime is 4278919061. The reversal of 4278919020 is 209198724.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9281590 + ... + 9282050.

It is an arithmetic number, because the mean of its divisors is an integer number (86454522).

Almost surely, 24278919020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4278919020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224725584).

4278919020 is an abundant number, since it is smaller than the sum of its proper divisors (8170532148).

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

4278919020 is a wasteful number, since it uses less digits than its factorization.

4278919020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 4278919020 is about 65413.4467827526. The cubic root of 4278919020 is about 1623.4715752482.

The spelling of 4278919020 in words is "four billion, two hundred seventy-eight million, nine hundred nineteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 113 148 185 222 226 339 370 444 452 461 555 565 678 740 922 1110 1130 1356 1369 1383 1695 1844 2220 2260 2305 2738 2766 3390 4107 4181 4610 5476 5532 6780 6845 6915 8214 8362 9220 12543 13690 13830 16428 16724 17057 20535 20905 25086 27380 27660 34114 41070 41810 50172 51171 52093 62715 68228 82140 83620 85285 102342 104186 125430 154697 156279 170570 204684 208372 250860 255855 260465 309394 312558 341140 464091 511710 520930 618788 625116 631109 773485 781395 928182 1023420 1041860 1262218 1546970 1562790 1856364 1893327 1927441 2320455 2524436 3093940 3125580 3155545 3786654 3854882 4640910 5782323 6311090 7573308 7709764 9281820 9466635 9637205 11564646 12622180 18933270 19274410 23129292 28911615 37866540 38548820 57823230 71315317 115646460 142630634 213945951 285261268 356576585 427891902 713153170 855783804 1069729755 1426306340 2139459510 4278919020