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64299070080 = 2734572171489
BaseRepresentation
bin111011111000100001…
…011111001010000000
320010222010001012020000
4323320201133022000
52023141030220310
645312200120000
74434251035500
oct737041371200
9203863035200
1064299070080
11252a6170043
1210565766000
1360a931233b
14317d817a00
151a14da14c0
hexef885f280

64299070080 has 960 divisors, whose sum is σ = 283015636200. Its totient is φ = 13823115264.

The previous prime is 64299070049. The next prime is 64299070091. The reversal of 64299070080 is 8007099246.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51209879616 + 13089190464 = 226296^2 + 114408^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43181976 + ... + 43183464.

Almost surely, 264299070080 is an apocalyptic number.

64299070080 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 64299070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141507818100).

64299070080 is an abundant number, since it is smaller than the sum of its proper divisors (218716566120).

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

64299070080 is a wasteful number, since it uses less digits than its factorization.

64299070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 64299070080 in words is "sixty-four billion, two hundred ninety-nine million, seventy thousand, eighty".