Search a number
-
+
1864543738050 = 2325271931153613
BaseRepresentation
bin11011001000011111011…
…101111001100011000010
320121020201020222210001100
4123020133131321203002
5221022041144104200
63544320511115230
7251465063163330
oct33103735714302
96536636883040
101864543738050
11659826371364
1226143bb12b16
13106a97150c96
146635c8b4b50
153377b138d00
hex1b21f7798c2

1864543738050 has 144 divisors (see below), whose sum is σ = 6026355092160. Its totient is φ = 403750811520.

The previous prime is 1864543738027. The next prime is 1864543738097. The reversal of 1864543738050 is 508373454681.

1864543738050 is a `hidden beast` number, since 1 + 8 + 64 + 543 + 7 + 38 + 0 + 5 + 0 = 666.

It is a super-2 number, since 2×18645437380502 (a number of 25 digits) contains 22 as substring.

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, 15516957 + ... + 15636656.

It is an arithmetic number, because the mean of its divisors is an integer number (41849688140).

Almost surely, 21864543738050 is an apocalyptic number.

1864543738050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1864543738050 is an abundant number, since it is smaller than the sum of its proper divisors (4161811354110).

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

1864543738050 is a wasteful number, since it uses less digits than its factorization.

1864543738050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31153657 (or 31153649 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1864543738050 in words is "one trillion, eight hundred sixty-four billion, five hundred forty-three million, seven hundred thirty-eight thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 25 30 35 38 42 45 50 57 63 70 75 90 95 105 114 126 133 150 171 175 190 210 225 266 285 315 342 350 399 450 475 525 570 630 665 798 855 950 1050 1197 1330 1425 1575 1710 1995 2394 2850 3150 3325 3990 4275 5985 6650 8550 9975 11970 19950 29925 59850 31153613 62307226 93460839 155768065 186921678 218075291 280382517 311536130 436150582 467304195 560765034 591918647 654225873 778840325 934608390 1090376455 1183837294 1308451746 1401912585 1557680650 1775755941 1962677619 2180752910 2336520975 2803825170 2959593235 3271129365 3551511882 3925355238 4143430529 4673041950 5327267823 5451882275 5919186470 6542258730 7009562925 8286861058 8878779705 9813388095 10654535646 10903764550 12430291587 14019125850 14797966175 16355646825 17757559410 19626776190 20717152645 24860583174 26636339115 29595932350 32711293650 37290874761 41434305290 44393898525 49066940475 53272678230 62151457935 74581749522 88787797050 98133880950 103585763225 124302915870 133181695575 186454373805 207171526450 266363391150 310757289675 372908747610 621514579350 932271869025 1864543738050