Search a number
-
+
11686141440 = 293254189139
BaseRepresentation
bin10101110001000110…
…00101111000000000
31010011102112111100100
422320203011320000
5142413123011230
65211334322400
7562410364131
oct127043057000
933142474310
1011686141440
114a57582036
1223217b9400
131143123abc
147cc07bc88
15485e25660
hex2b88c5e00

11686141440 has 480 divisors, whose sum is σ = 42226984800. Its totient is φ = 2984509440.

The previous prime is 11686141391. The next prime is 11686141447. The reversal of 11686141440 is 4414168611.

It is a happy number.

11686141440 is a `hidden beast` number, since 11 + 68 + 6 + 141 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11686141395 and 11686141404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11686141447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 84072891 + ... + 84073029.

It is an arithmetic number, because the mean of its divisors is an integer number (87972885).

Almost surely, 211686141440 is an apocalyptic number.

11686141440 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 11686141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21113492400).

11686141440 is an abundant number, since it is smaller than the sum of its proper divisors (30540843360).

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

11686141440 is a wasteful number, since it uses less digits than its factorization.

11686141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11686141440 in words is "eleven billion, six hundred eighty-six million, one hundred forty-one thousand, four hundred forty".