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2133733816980 = 22325173718845909
BaseRepresentation
bin11111000011001100011…
…100100011101010010100
321112222112120121122120200
4133003030130203222110
5234424341324120410
64312120200500500
7310104625123143
oct37031434435224
97488476548520
102133733816980
11752a03127977
122a564717a730
13126296b6cc5c
14753b7bbd75a
153a783a373c0
hex1f0cc723a94

2133733816980 has 144 divisors (see below), whose sum is σ = 7038268932240. Its totient is φ = 521051664384.

The previous prime is 2133733816957. The next prime is 2133733816993. The reversal of 2133733816980 is 896183373312.

2133733816980 is a `hidden beast` number, since 2 + 1 + 3 + 373 + 38 + 169 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 304796743056 + 1828937073924 = 552084^2 + 1352382^2 .

It is a congruent number.

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, 9309735 + ... + 9536174.

It is an arithmetic number, because the mean of its divisors is an integer number (48876867585).

Almost surely, 22133733816980 is an apocalyptic number.

2133733816980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133733816980 is an abundant number, since it is smaller than the sum of its proper divisors (4904535115260).

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

2133733816980 is a wasteful number, since it uses less digits than its factorization.

2133733816980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18845978 (or 18845973 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2133733816980 in words is "two trillion, one hundred thirty-three billion, seven hundred thirty-three million, eight hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 555 612 629 666 740 765 1020 1110 1258 1332 1530 1665 1887 2220 2516 3060 3145 3330 3774 5661 6290 6660 7548 9435 11322 12580 18870 22644 28305 37740 56610 113220 18845909 37691818 56537727 75383636 94229545 113075454 169613181 188459090 226150908 282688635 320380453 339226362 376918180 565377270 640760906 678452724 697298633 848065905 961141359 1130754540 1281521812 1394597266 1601902265 1696131810 1922282718 2091895899 2789194532 2883424077 3203804530 3392263620 3486493165 3844565436 4183791798 4805706795 5766848154 6275687697 6407609060 6972986330 8367583596 9611413590 10459479495 11533696308 11854076761 12551375394 13945972660 14417120385 19222827180 20918958990 23708153522 25102750788 28834240770 31378438485 35562230283 41837917980 47416307044 57668481540 59270383805 62756876970 71124460566 106686690849 118540767610 125513753940 142248921132 177811151415 213373381698 237081535220 355622302830 426746763396 533433454245 711244605660 1066866908490 2133733816980