Search a number
-
+
11660110000 = 245471119797
BaseRepresentation
bin10101101101111111…
…10010100010110000
31010002121112221220221
422312333302202300
5142334442010000
65205004342424
7561643204540
oct126677624260
933077487827
1011660110000
114a43912250
122314b44a14
13113a90b296
147c8823320
154839d261a
hex2b6ff28b0

11660110000 has 400 divisors, whose sum is σ = 37095125760. Its totient is φ = 3438720000.

The previous prime is 11660109931. The next prime is 11660110001. The reversal of 11660110000 is 1106611.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11660110001) 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 79 ways as a sum of consecutive naturals, for example, 14629602 + ... + 14630398.

Almost surely, 211660110000 is an apocalyptic number.

11660110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11660110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547562880).

11660110000 is an abundant number, since it is smaller than the sum of its proper divisors (25435015760).

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

11660110000 is a wasteful number, since it uses less digits than its factorization.

11660110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11660110000 its reverse (1106611), we get a palindrome (11661216611).

The spelling of 11660110000 in words is "eleven billion, six hundred sixty million, one hundred ten thousand".