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11890582704 = 24337111331887
BaseRepresentation
bin10110001001011101…
…11110010010110000
31010200200020012001000
423010232332102300
5143322442121304
65243520242000
7600442166610
oct130456762260
933620205030
1011890582704
115051a18860
12237a170300
1311765a4770
1480b298a40
15498d5a939
hex2c4bbe4b0

11890582704 has 640 divisors, whose sum is σ = 47356968960. Its totient is φ = 2755814400.

The previous prime is 11890582703. The next prime is 11890582801. The reversal of 11890582704 is 40728509811.

11890582704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11890582704.

It is not an unprimeable number, because it can be changed into a prime (11890582703) 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 127 ways as a sum of consecutive naturals, for example, 13404949 + ... + 13405835.

It is an arithmetic number, because the mean of its divisors is an integer number (73995264).

Almost surely, 211890582704 is an apocalyptic number.

11890582704 is a gapful number since it is divisible by the number (14) 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 11890582704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23678484480).

11890582704 is an abundant number, since it is smaller than the sum of its proper divisors (35466386256).

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

11890582704 is a wasteful number, since it uses less digits than its factorization.

11890582704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11890582704 in words is "eleven billion, eight hundred ninety million, five hundred eighty-two thousand, seven hundred four".