Search a number
-
+
2066348739560 = 235722414374521
BaseRepresentation
bin11110000100011011111…
…110111000101111101000
321022112121101201001010112
4132010123332320233220
5232323340234131220
64221133440433452
7302201022325400
oct36043376705750
97275541631115
102066348739560
11727373aa2946
12294580018888
1311cb183c1891
14720245b1800
1538b3cca35c5
hex1e11bfb8be8

2066348739560 has 96 divisors (see below), whose sum is σ = 5430794082120. Its totient is φ = 705522585600.

The previous prime is 2066348739557. The next prime is 2066348739607. The reversal of 2066348739560 is 659378436602.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1316008186276 + 750340553284 = 1147174^2 + 866222^2 .

It is a super-2 number, since 2×20663487395602 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2066348739560.

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, 1714901 + ... + 2659620.

Almost surely, 22066348739560 is an apocalyptic number.

2066348739560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066348739560 is an abundant number, since it is smaller than the sum of its proper divisors (3364445342560).

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

2066348739560 is a wasteful number, since it uses less digits than its factorization.

2066348739560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374787 (or 4374776 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 59.

The spelling of 2066348739560 in words is "two trillion, sixty-six billion, three hundred forty-eight million, seven hundred thirty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 241 245 280 392 482 490 964 980 1205 1687 1928 1960 2410 3374 4820 6748 8435 9640 11809 13496 16870 23618 33740 47236 59045 67480 94472 118090 236180 472360 4374521 8749042 17498084 21872605 30621647 34996168 43745210 61243294 87490420 122486588 153108235 174980840 214351529 244973176 306216470 428703058 612432940 857406116 1054259561 1071757645 1224865880 1714812232 2108519122 2143515290 4217038244 4287030580 5271297805 7379816927 8434076488 8574061160 10542595610 14759633854 21085191220 29519267708 36899084635 42170382440 51658718489 59038535416 73798169270 103317436978 147596338540 206634873956 258293592445 295192677080 413269747912 516587184890 1033174369780 2066348739560