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6066664128 = 26357219419
BaseRepresentation
bin1011010011001100…
…11111001011000000
3120122210111110200000
411221212133023000
544411031223003
62441553400000
7303223536300
oct55146371300
916583443600
106066664128
112633523608
121213869000
13758b3a0b5
14417a03600
152579051a3
hex16999f2c0

6066664128 has 504 divisors, whose sum is σ = 22133966400. Its totient is φ = 1638185472.

The previous prime is 6066664117. The next prime is 6066664139. The reversal of 6066664128 is 8214666606.

It is an interprime number because it is at equal distance from previous prime (6066664117) and next prime (6066664139).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14478703 + ... + 14479121.

It is an arithmetic number, because the mean of its divisors is an integer number (43916600).

Almost surely, 26066664128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11066983200).

6066664128 is an abundant number, since it is smaller than the sum of its proper divisors (16067302272).

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

6066664128 is a wasteful number, since it uses less digits than its factorization.

6066664128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6066664128 is about 77888.7933402489. The cubic root of 6066664128 is about 1823.8256412281.

The spelling of 6066664128 in words is "six billion, sixty-six million, six hundred sixty-four thousand, one hundred twenty-eight".