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6680143872 = 2113531433
BaseRepresentation
bin1100011100010101…
…01110100000000000
3122020112212110200000
412032022232200000
5102140104100442
63022510400000
7324353200053
oct61612564000
918215773600
106680143872
112918848a66
121365200000
13825c7536c
14475298a9a
152916d6d4c
hex18e2ae800

6680143872 has 288 divisors, whose sum is σ = 20701175040. Its totient is φ = 2149908480.

The previous prime is 6680143867. The next prime is 6680143879. The reversal of 6680143872 is 2783410866.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (6680143879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15427368 + ... + 15427800.

It is an arithmetic number, because the mean of its divisors is an integer number (71879080).

Almost surely, 26680143872 is an apocalyptic number.

6680143872 is a gapful number since it is divisible by the number (62) 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 6680143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350587520).

6680143872 is an abundant number, since it is smaller than the sum of its proper divisors (14021031168).

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

6680143872 is an equidigital number, since it uses as much as digits as its factorization.

6680143872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6680143872 is about 81732.1471148287. The cubic root of 6680143872 is about 1883.3394576736.

The spelling of 6680143872 in words is "six billion, six hundred eighty million, one hundred forty-three thousand, eight hundred seventy-two".