Search a number
-
+
4278278082780 = 22325133533517499
BaseRepresentation
bin111110010000011101001…
…111101101000011011100
3120010222222120000000001200
4332100131033231003130
51030043403142122110
613033225215035500
7621044501453652
oct76203517550334
916128876000050
104278278082780
1113aa453496a69
125911aa80bb90
1325059459b190
1410b0d960add2
157644b66a6c0
hex3e41d3ed0dc

4278278082780 has 144 divisors (see below), whose sum is σ = 13979691180000. Its totient is φ = 1052814491136.

The previous prime is 4278278082773. The next prime is 4278278082817. The reversal of 4278278082780 is 872808728724.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 8008471 + ... + 8525969.

It is an arithmetic number, because the mean of its divisors is an integer number (97081188750).

Almost surely, 24278278082780 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 4278278082780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989845590000).

4278278082780 is an abundant number, since it is smaller than the sum of its proper divisors (9701413097220).

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

4278278082780 is a wasteful number, since it uses less digits than its factorization.

4278278082780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521060 (or 521055 counting only the distinct ones).

The product of its (nonzero) digits is 44957696, while the sum is 63.

The spelling of 4278278082780 in words is "four trillion, two hundred seventy-eight billion, two hundred seventy-eight million, eighty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 3533 7066 10599 14132 17665 21198 31797 35330 42396 45929 52995 63594 70660 91858 105990 127188 137787 158985 183716 211980 229645 275574 317970 413361 459290 517499 551148 635940 688935 826722 918580 1034998 1377870 1552497 1653444 2066805 2069996 2587495 2755740 3104994 4133610 4657491 5174990 6209988 6727487 7762485 8267220 9314982 10349980 13454974 15524970 18629964 20182461 23287455 26909948 31049940 33637435 40364922 46574910 60547383 67274870 80729844 93149820 100912305 121094766 134549740 201824610 242189532 302736915 403649220 605473830 1210947660 1828323967 3656647934 5484971901 7313295868 9141619835 10969943802 16454915703 18283239670 21939887604 23768211571 27424859505 32909831406 36566479340 47536423142 54849719010 65819662812 71304634713 82274578515 95072846284 109699438020 118841057855 142609269426 164549157030 213913904139 237682115710 285218538852 329098314060 356523173565 427827808278 475364231420 713046347130 855655616556 1069569520695 1426092694260 2139139041390 4278278082780