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1706440412928 = 28319701916661
BaseRepresentation
bin11000110101001111110…
…001100100111100000000
320001010121202200200212010
4120311033301210330000
5210424242221203203
63343532232132520
7234200120120436
oct30651761447400
96033552620763
101706440412928
115a87741430a9
12236877537140
13c4bbbb225b4
145c840c40d56
152e5c5e4e303
hex18d4fc64f00

1706440412928 has 144 divisors (see below), whose sum is σ = 4781620771200. Its totient is φ = 538766807040.

The previous prime is 1706440412927. The next prime is 1706440412977. The reversal of 1706440412928 is 8292140446071.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1706440412927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102412918 + ... + 102429578.

It is an arithmetic number, because the mean of its divisors is an integer number (33205699800).

Almost surely, 21706440412928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1706440412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390810385600).

1706440412928 is an abundant number, since it is smaller than the sum of its proper divisors (3075180358272).

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

1706440412928 is a wasteful number, since it uses less digits than its factorization.

1706440412928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23718 (or 23704 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

Adding to 1706440412928 its reverse (8292140446071), we get a palindrome (9998580858999).

The spelling of 1706440412928 in words is "one trillion, seven hundred six billion, four hundred forty million, four hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7019 7296 14038 14592 16661 21057 28076 33322 42114 49983 56152 66644 84228 99966 112304 133288 133361 168456 199932 224608 266576 266722 316559 336912 399864 400083 449216 533152 533444 633118 673824 799728 800166 898432 949677 1066304 1066888 1266236 1347648 1599456 1600332 1796864 1899354 2132608 2133776 2532472 2695296 3198912 3200664 3798708 4265216 4267552 5064944 5390592 6397824 6401328 7597416 8535104 10129888 12795648 12802656 15194832 17070208 20259776 25605312 30389664 34140416 40519552 51210624 60779328 81039104 102421248 116943559 121558656 233887118 243117312 350830677 467774236 701661354 935548472 1403322708 1871096944 2221927621 2806645416 3742193888 4443855242 5613290832 6665782863 7484387776 8887710484 11226581664 13331565726 14968775552 17775420968 22453163328 26663131452 29937551104 35550841936 44906326656 53326262904 71101683872 89812653312 106652525808 142203367744 213305051616 284406735488 426610103232 568813470976 853220206464 1706440412928