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52709412096 = 28331121931107
BaseRepresentation
bin110001000101101110…
…011100110100000000
312001001102001120022000
4301011232130310000
51330422102141341
640114145344000
73544121416245
oct610556346400
9161042046260
1052709412096
11203990a8500
12a270338000
134c801a0553
1427a04d35cc
1515876888b6
hexc45b9cd00

52709412096 has 864 divisors, whose sum is σ = 187904102400. Its totient is φ = 14506905600.

The previous prime is 52709412089. The next prime is 52709412113. The reversal of 52709412096 is 69021490725.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×527094120962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492611275 + ... + 492611381.

It is an arithmetic number, because the mean of its divisors is an integer number (217481600).

Almost surely, 252709412096 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 52709412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93952051200).

52709412096 is an abundant number, since it is smaller than the sum of its proper divisors (135194690304).

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

52709412096 is a wasteful number, since it uses less digits than its factorization.

52709412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 52709412096 in words is "fifty-two billion, seven hundred nine million, four hundred twelve thousand, ninety-six".