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6487111680 = 21135797311
BaseRepresentation
bin1100000101010100…
…10111100000000000
3121202002122102021120
412002222113200000
5101241200033210
62551413152240
7316520353020
oct60252274000
917662572246
106487111680
112829895025
12131062b680
137c4c8a72a
144577aba80
1527e7a7270
hex182a97800

6487111680 has 384 divisors, whose sum is σ = 24040074240. Its totient is φ = 1462763520.

The previous prime is 6487111679. The next prime is 6487111681. The reversal of 6487111680 is 861117846.

It is an interprime number because it is at equal distance from previous prime (6487111679) and next prime (6487111681).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6487111681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20858725 + ... + 20859035.

It is an arithmetic number, because the mean of its divisors is an integer number (62604360).

Almost surely, 26487111680 is an apocalyptic number.

6487111680 is a gapful number since it is divisible by the number (60) 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 6487111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020037120).

6487111680 is an abundant number, since it is smaller than the sum of its proper divisors (17552962560).

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

6487111680 is a wasteful number, since it uses less digits than its factorization.

6487111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 6487111680 is about 80542.6078544766. The cubic root of 6487111680 is about 1865.0212802475.

The spelling of 6487111680 in words is "six billion, four hundred eighty-seven million, one hundred eleven thousand, six hundred eighty".