Search a number
-
+
10669549770 = 23351137151643
BaseRepresentation
bin10011110111111010…
…00110100011001010
31000112120122021202000
421323331012203022
5133322401043040
64522421251430
7525254451045
oct117375064312
930476567660
1010669549770
114585756730
122099263b76
131010627979
14733051c5c
15426a68130
hex27bf468ca

10669549770 has 256 divisors, whose sum is σ = 32138588160. Its totient is φ = 2496096000.

The previous prime is 10669549753. The next prime is 10669549771. The reversal of 10669549770 is 7794596601.

10669549770 is a `hidden beast` number, since 1 + 0 + 66 + 95 + 497 + 7 + 0 = 666.

It is a super-2 number, since 2×106695497702 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10669549771) 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 127 ways as a sum of consecutive naturals, for example, 16593069 + ... + 16593711.

It is an arithmetic number, because the mean of its divisors is an integer number (125541360).

Almost surely, 210669549770 is an apocalyptic number.

10669549770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10669549770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069294080).

10669549770 is an abundant number, since it is smaller than the sum of its proper divisors (21469038390).

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

10669549770 is a wasteful number, since it uses less digits than its factorization.

10669549770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 10669549770 in words is "ten billion, six hundred sixty-nine million, five hundred forty-nine thousand, seven hundred seventy".