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7064134000 = 245372116553
BaseRepresentation
bin1101001010000111…
…00010000101110000
3200020022102012002121
412211003202011300
5103431404242000
63124544524024
7340025101600
oct64503420560
920208365077
107064134000
112aa5579480
121451920614
1388769c761
144b0292c00
152b5286b1a
hex1a50e2170

7064134000 has 240 divisors, whose sum is σ = 21679478496. Its totient is φ = 2201472000.

The previous prime is 7064133929. The next prime is 7064134019. The reversal of 7064134000 is 4314607.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074724 + ... + 1081276.

Almost surely, 27064134000 is an apocalyptic number.

7064134000 is a gapful number since it is divisible by the number (70) 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 7064134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10839739248).

7064134000 is an abundant number, since it is smaller than the sum of its proper divisors (14615344496).

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

7064134000 is a wasteful number, since it uses less digits than its factorization.

7064134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 7064134000 is about 84048.4027212891. The cubic root of 7064134000 is about 1918.7555231196.

Adding to 7064134000 its reverse (4314607), we get a palindrome (7068448607).

The spelling of 7064134000 in words is "seven billion, sixty-four million, one hundred thirty-four thousand".