Search a number
-
+
1082694356676 = 2231021412
BaseRepresentation
bin11111100000101011001…
…11001100111011000100
310211111121211110000000000
433300111213030323010
5120214324223403201
62145214413321300
7141136114120632
oct17602547147304
93744554400000
101082694356676
11388193814029
12155a00196230
137b13668c53a
143a58cd86352
151d26b552d86
hexfc159ccec4

1082694356676 has 99 divisors (see below), whose sum is σ = 2843384706253. Its totient is φ = 360729553680.

The previous prime is 1082694356647. The next prime is 1082694356683. The reversal of 1082694356676 is 6766534962801.

The square root of 1082694356676 is 1040526.

It is a perfect power (a square), and thus also a powerful number.

1082694356676 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 69 + 4 + 3 + 566 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1032715283076 + 49979073600 = 1016226^2 + 223560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 505694566 + ... + 505696706.

It is a 1-persistent number, because it is pandigital, but 2⋅1082694356676 = 2165388713352 is not.

Almost surely, 21082694356676 is an apocalyptic number.

1082694356676 is the 1040526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082694356676

1082694356676 is an abundant number, since it is smaller than the sum of its proper divisors (1760690349577).

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

1082694356676 is an frugal number, since it uses more digits than its factorization.

1082694356676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 1082694356676 in words is "one trillion, eighty-two billion, six hundred ninety-four million, three hundred fifty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2141 2187 2916 4282 4374 6423 6561 8564 8748 12846 13122 19269 19683 25692 26244 38538 39366 57807 59049 77076 78732 115614 118098 173421 231228 236196 346842 520263 693684 1040526 1560789 2081052 3121578 4583881 4682367 6243156 9167762 9364734 13751643 14047101 18335524 18729468 27503286 28094202 41254929 42141303 55006572 56188404 82509858 84282606 123764787 126423909 165019716 168565212 247529574 252847818 371294361 495059148 505695636 742588722 1113883083 1485177444 2227766166 3341649249 4455532332 6683298498 10024947747 13366596996 20049895494 30074843241 40099790988 60149686482 90224529723 120299372964 180449059446 270673589169 360898118892 541347178338 1082694356676