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82782785280 = 2835131658309
BaseRepresentation
bin100110100011000111…
…1010000111100000000
321220200021102012202110
41031012033100330000
52324014343112110
6102010242215320
75660302031136
oct1150617207400
9256607365673
1082782785280
11321207a6928
1214063954540
137a63815620
14401459b756
152247957a20
hex13463d0f00

82782785280 has 144 divisors (see below), whose sum is σ = 284725193760. Its totient is φ = 20377288704.

The previous prime is 82782785269. The next prime is 82782785297. The reversal of 82782785280 is 8258728728.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82782785280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779235 + ... + 879074.

It is an arithmetic number, because the mean of its divisors is an integer number (1977258290).

Almost surely, 282782785280 is an apocalyptic number.

82782785280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82782785280 is an abundant number, since it is smaller than the sum of its proper divisors (201942408480).

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

82782785280 is a wasteful number, since it uses less digits than its factorization.

82782785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658346 (or 1658332 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 57.

The spelling of 82782785280 in words is "eighty-two billion, seven hundred eighty-two million, seven hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 1658309 3316618 4974927 6633236 8291545 9949854 13266472 16583090 19899708 21558017 24874635 26532944 33166180 39799416 43116034 49749270 53065888 64674051 66332360 79598832 86232068 99498540 106131776 107790085 129348102 132664720 159197664 172464136 198997080 212263552 215580170 258696204 265329440 318395328 323370255 344928272 397994160 424527104 431160340 517392408 530658880 636790656 646740510 689856544 795988320 862320680 1034784816 1061317760 1273581312 1293481020 1379713088 1591976640 1724641360 2069569632 2122635520 2586962040 2759426176 3183953280 3449282720 4139139264 5173924080 5518852352 6367906560 6898565440 8278278528 10347848160 13797130880 16556557056 20695696320 27594261760 41391392640 82782785280