Search a number
-
+
2861364988080 = 24355147189557
BaseRepresentation
bin101001101000110110101…
…001001100100010110000
3101010112200110000222100000
4221220312221030202300
5333340033414104310
610030254250030000
7413504202045624
oct51506651144260
911115613028300
102861364988080
11a03552a38365
123a2675418300
13179a969ab381
149c6c2aa5184
154e66d79d4c0
hex29a36a4c8b0

2861364988080 has 120 divisors (see below), whose sum is σ = 9965321834832. Its totient is φ = 763030658304.

The previous prime is 2861364988051. The next prime is 2861364988151. The reversal of 2861364988080 is 808894631682.

2861364988080 is a `hidden beast` number, since 2 + 8 + 6 + 136 + 498 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 2861364987999 and 2861364988017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73575339 + ... + 73614218.

Almost surely, 22861364988080 is an apocalyptic number.

2861364988080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2861364988080 is an abundant number, since it is smaller than the sum of its proper divisors (7103956846752).

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

2861364988080 is a wasteful number, since it uses less digits than its factorization.

2861364988080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147189585 (or 147189567 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

It can be divided in two parts, 2861364 and 988080, that added together give a square (3849444 = 19622).

The spelling of 2861364988080 in words is "two trillion, eight hundred sixty-one billion, three hundred sixty-four million, nine hundred eighty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 147189557 294379114 441568671 588758228 735947785 883137342 1177516456 1324706013 1471895570 1766274684 2207843355 2355032912 2649412026 2943791140 3532549368 3974118039 4415686710 5298824052 5887582280 6623530065 7065098736 7948236078 8831373420 10597648104 11775164560 11922354117 13247060130 15896472156 17662746840 19870590195 21195296208 23844708234 26494120260 31792944312 35325493680 35767062351 39741180390 47689416468 52988240520 59611770585 63585888624 71534124702 79482360780 95378832936 105976481040 119223541170 143068249404 158964721560 178835311755 190757665872 238447082340 286136498808 317929443120 357670623510 476894164680 572272997616 715341247020 953788329360 1430682494040 2861364988080