Search a number
-
+
10975452552 = 2332178966873
BaseRepresentation
bin10100011100011000…
…00001110110001000
31001022220020202110200
422032030001312020
5134434203440202
65013030012200
7535660543641
oct121614016610
931286222420
1010975452552
1147223a1a49
1221637a7060
13105bb1142c
147619206c8
15443840e1c
hex28e301d88

10975452552 has 48 divisors (see below), whose sum is σ = 31473727740. Its totient is φ = 3443278848.

The previous prime is 10975452539. The next prime is 10975452571. The reversal of 10975452552 is 25525457901.

10975452552 is a `hidden beast` number, since 1 + 0 + 9 + 75 + 4 + 525 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10788145956 + 187306596 = 103866^2 + 13686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10975452498 and 10975452507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4482213 + ... + 4484660.

Almost surely, 210975452552 is an apocalyptic number.

10975452552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10975452552 is an abundant number, since it is smaller than the sum of its proper divisors (20498275188).

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

10975452552 is a wasteful number, since it uses less digits than its factorization.

10975452552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966902 (or 8966895 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 10975452552 in words is "ten billion, nine hundred seventy-five million, four hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 8966873 17933746 26900619 35867492 53801238 71734984 80701857 107602476 152436841 161403714 215204952 304873682 322807428 457310523 609747364 645614856 914621046 1219494728 1371931569 1829242092 2743863138 3658484184 5487726276 10975452552