Search a number
-
+
1082113714728 = 233215029357149
BaseRepresentation
bin11111011111100110000…
…00001110101000101000
310211110010100212022222200
433233303000032220220
5120212132102332403
62145041032220200
7141115533545154
oct17576300165050
93743110768880
101082113714728
11387a15a88152
1215587983a660
137b0732b0b17
143a535bdc064
151d2355aaca3
hexfbf300ea28

1082113714728 has 24 divisors (see below), whose sum is σ = 2930724644250. Its totient is φ = 360704571552.

The previous prime is 1082113714723. The next prime is 1082113714777. The reversal of 1082113714728 is 8274173112801.

It is a happy number.

1082113714728 is a `hidden beast` number, since 1 + 0 + 8 + 211 + 371 + 47 + 28 = 666.

1082113714728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1080348202404 + 1765512324 = 1039398^2 + 42018^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10821137147282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1082113714723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7514678503 + ... + 7514678646.

Almost surely, 21082113714728 is an apocalyptic number.

1082113714728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1082113714728 is an abundant number, since it is smaller than the sum of its proper divisors (1848610929522).

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

1082113714728 is a wasteful number, since it uses less digits than its factorization.

1082113714728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15029357161 (or 15029357154 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1082113714728 in words is "one trillion, eighty-two billion, one hundred thirteen million, seven hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15029357149 30058714298 45088071447 60117428596 90176142894 120234857192 135264214341 180352285788 270528428682 360704571576 541056857364 1082113714728