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64046900736 = 2932713231379
BaseRepresentation
bin111011101001011111…
…100010011000000000
320010022112112122220200
4323221133202120000
52022132001310421
645231151205200
74425066450060
oct735137423000
9203275478820
1064046900736
1125186895525
12104b5216800
136068cc0400
1431581353a0
1519ecb8e726
hexee97e2600

64046900736 has 720 divisors, whose sum is σ = 236751989760. Its totient is φ = 16303472640.

The previous prime is 64046900707. The next prime is 64046900779. The reversal of 64046900736 is 63700964046.

It is a junction number, because it is equal to n+sod(n) for n = 64046900691 and 64046900700.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 168988995 + ... + 168989373.

It is an arithmetic number, because the mean of its divisors is an integer number (328822208).

Almost surely, 264046900736 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 64046900736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118375994880).

64046900736 is an abundant number, since it is smaller than the sum of its proper divisors (172705089024).

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

64046900736 is a wasteful number, since it uses less digits than its factorization.

64046900736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 64046900736 in words is "sixty-four billion, forty-six million, nine hundred thousand, seven hundred thirty-six".