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64509696 = 28351761
BaseRepresentation
bin1111011000010…
…1011100000000
311111101102200000
43312011130000
5113003302241
610222400000
71412215626
oct366053400
9144342600
1064509696
11334610a9
1219730000
1310498824
1487d3516
1559e3eb6
hex3d85700

64509696 has 216 divisors, whose sum is σ = 207580464. Its totient is φ = 19906560.

The previous prime is 64509689. The next prime is 64509703. The reversal of 64509696 is 69690546.

It is an interprime number because it is at equal distance from previous prime (64509689) and next prime (64509703).

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057506 + ... + 1057566.

Almost surely, 264509696 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 64509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103790232).

64509696 is an abundant number, since it is smaller than the sum of its proper divisors (143070768).

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

64509696 is an equidigital number, since it uses as much as digits as its factorization.

64509696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 64509696 is about 8031.7928260134. The cubic root of 64509696 is about 401.0590601709.

The spelling of 64509696 in words is "sixty-four million, five hundred nine thousand, six hundred ninety-six".