Search a number
-
+
1768290012 = 223249119167
BaseRepresentation
bin110100101100101…
…1111011011011100
311120020100102212200
41221121133123130
512110140240022
6451244331500
761551134316
oct15131373334
94506312780
101768290012
11828176505
12414243b90
13222469968
1412abc07b6
15a5392bac
hex6965f6dc

1768290012 has 18 divisors (see below), whose sum is σ = 4469844288. Its totient is φ = 589429992.

The previous prime is 1768290001. The next prime is 1768290019. The reversal of 1768290012 is 2100928671.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 49119167 = 1768290012 / (1 + 7 + 6 + 8 + 2 + 9 + 0 + 0 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768290019) 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 5 ways as a sum of consecutive naturals, for example, 24559548 + ... + 24559619.

Almost surely, 21768290012 is an apocalyptic number.

1768290012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1768290012 is an abundant number, since it is smaller than the sum of its proper divisors (2701554276).

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

1768290012 is a wasteful number, since it uses less digits than its factorization.

1768290012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49119177 (or 49119172 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1768290012 is about 42051.0405578744. The cubic root of 1768290012 is about 1209.2548315830.

The spelling of 1768290012 in words is "one billion, seven hundred sixty-eight million, two hundred ninety thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 49119167 98238334 147357501 196476668 294715002 442072503 589430004 884145006 1768290012