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1082783906930 = 251129718150969
BaseRepresentation
bin11111100000110101111…
…00110011110001110010
310211111212001221121212002
433300122330303301302
5120220020140010210
62145231332534002
7141141252231245
oct17603274636162
93744761847762
101082783906930
1138822a318500
12155a26181302
137b14c0b485b
143a59ac1725c
151d2743414a5
hexfc1af33c72

1082783906930 has 96 divisors (see below), whose sum is σ = 2176387602480. Its totient is φ = 387519897600.

The previous prime is 1082783906909. The next prime is 1082783906947. The reversal of 1082783906930 is 396093872801.

It can be written as a sum of positive squares in 8 ways, for example, as 25718216161 + 1057065690769 = 160369^2 + 1028137^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21218486 + ... + 21269454.

Almost surely, 21082783906930 is an apocalyptic number.

1082783906930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1082783906930 is an abundant number, since it is smaller than the sum of its proper divisors (1093603695550).

1082783906930 is a wasteful number, since it uses less digits than its factorization.

1082783906930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51276 (or 51265 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 56.

The spelling of 1082783906930 in words is "one trillion, eighty-two billion, seven hundred eighty-three million, nine hundred six thousand, nine hundred thirty".

Divisors: 1 2 5 10 11 22 55 97 110 121 181 194 242 362 485 605 905 970 1067 1210 1810 1991 2134 3982 5335 9955 10670 11737 17557 19910 21901 23474 35114 43802 50969 58685 87785 101938 109505 117370 175570 193127 219010 254845 386254 509690 560659 965635 1121318 1931270 2124397 2803295 4248794 4943993 5606590 6167249 9225389 9887986 10621985 12334498 18450778 21243970 24719965 30836245 46126945 49439930 54383923 61672490 92253890 101479279 108767846 202958558 271919615 507396395 543839230 598223153 894862733 1014792790 1116272069 1196446306 1789725466 2232544138 2991115765 4474313665 5581360345 5982231530 8948627330 9843490063 11162720690 19686980126 49217450315 98434900630 108278390693 216556781386 541391953465 1082783906930