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12082381780 = 2257217761953
BaseRepresentation
bin10110100000010101…
…01000001111010100
31011012001010120220111
423100022220033110
5144221042204110
65314531212404
7605261356600
oct132012501724
934161116814
1012082381780
11514020a297
122412447104
1311a724a041
14828944500
154aaae4e8a
hex2d02a83d4

12082381780 has 144 divisors (see below), whose sum is σ = 31325643216. Its totient is φ = 3889643520.

The previous prime is 12082381777. The next prime is 12082381807. The reversal of 12082381780 is 8718328021.

It can be written as a sum of positive squares in 8 ways, for example, as 1285509316 + 10796872464 = 35854^2 + 103908^2 .

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, 12677784 + ... + 12678736.

It is an arithmetic number, because the mean of its divisors is an integer number (217539189).

Almost surely, 212082381780 is an apocalyptic number.

12082381780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12082381780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15662821608).

12082381780 is an abundant number, since it is smaller than the sum of its proper divisors (19243261436).

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

12082381780 is a wasteful number, since it uses less digits than its factorization.

12082381780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 12082381780 in words is "twelve billion, eighty-two million, three hundred eighty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 761 833 953 980 1190 1522 1666 1906 2380 3044 3332 3805 3812 4165 4765 5327 6671 7610 8330 9530 10654 12937 13342 15220 16201 16660 19060 21308 25874 26635 26684 32402 33355 37289 46697 51748 53270 64685 64804 66710 74578 81005 90559 93394 106540 113407 129370 133420 149156 162010 181118 186445 186788 226814 233485 258740 324020 362236 372890 452795 453628 466970 567035 633913 725233 745780 793849 905590 933940 1134070 1267826 1450466 1587698 1811180 2268140 2535652 2900932 3169565 3175396 3626165 3969245 5076631 6339130 7252330 7938490 10153262 12328961 12678260 14504660 15876980 20306524 24657922 25383155 35536417 49315844 50766310 61644805 71072834 86302727 101532620 123289610 142145668 172605454 177682085 246579220 345210908 355364170 431513635 604119089 710728340 863027270 1208238178 1726054540 2416476356 3020595445 6041190890 12082381780