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64714518720 = 26325316191171
BaseRepresentation
bin111100010001010010…
…010011000011000000
320012001001210011121200
4330101102103003000
52030013404044340
645421320421200
74450454222145
oct742122230300
9205031704550
1064714518720
1125499727825
1210660917800
136144402537
1431bca803cc
151a3b5b7330
hexf114930c0

64714518720 has 336 divisors, whose sum is σ = 230339066880. Its totient is φ = 16659302400.

The previous prime is 64714518679. The next prime is 64714518727. The reversal of 64714518720 is 2781541746.

64714518720 is a `hidden beast` number, since 64 + 7 + 1 + 4 + 518 + 72 + 0 = 666.

It is a super-2 number, since 2×647145187202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64714518727) by changing a digit.

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, 55263735 + ... + 55264905.

Almost surely, 264714518720 is an apocalyptic number.

64714518720 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 64714518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115169533440).

64714518720 is an abundant number, since it is smaller than the sum of its proper divisors (165624548160).

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

64714518720 is a wasteful number, since it uses less digits than its factorization.

64714518720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 64714518720 in words is "sixty-four billion, seven hundred fourteen million, five hundred eighteen thousand, seven hundred twenty".