Search a number
-
+
11704859712 = 26327213192373
BaseRepresentation
bin10101110011010100…
…11111110001000000
31010012201202110222200
422321222133301000
5142432421002322
65213243433200
7563025444300
oct127152376100
933181673880
1011704859712
114a670a7387
122327b25800
131146c789c0
147d0751600
154878c18ac
hex2b9a9fc40

11704859712 has 1008 divisors, whose sum is σ = 46797528960. Its totient is φ = 2759049216.

The previous prime is 11704859711. The next prime is 11704859723. The reversal of 11704859712 is 21795840711.

It is a happy number.

11704859712 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 48 + 597 + 12 = 666.

11704859712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (11704859711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160340508 + ... + 160340580.

It is an arithmetic number, because the mean of its divisors is an integer number (46426120).

Almost surely, 211704859712 is an apocalyptic number.

11704859712 is a gapful number since it is divisible by the number (12) 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 11704859712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398764480).

11704859712 is an abundant number, since it is smaller than the sum of its proper divisors (35092669248).

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

11704859712 is a wasteful number, since it uses less digits than its factorization.

11704859712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 11704859712 in words is "eleven billion, seven hundred four million, eight hundred fifty-nine thousand, seven hundred twelve".