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200968897536 = 210321129197347
BaseRepresentation
bin1011101100101010101…
…1100000010000000000
3201012201212102210001100
42323022223200100000
511243041014210121
6232153540534400
720343124305111
oct2731253402000
9635655383040
10200968897536
1178259781270
1232b480b1400
1315c49c89624
149a26a54208
155363560026
hex2ecaae0400

200968897536 has 528 divisors, whose sum is σ = 660097563840. Its totient is φ = 58332610560.

The previous prime is 200968897529. The next prime is 200968897541. The reversal of 200968897536 is 635798869002.

200968897536 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 6 + 8 + 8 + 97 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579160915 + ... + 579161261.

It is an arithmetic number, because the mean of its divisors is an integer number (1250184780).

Almost surely, 2200968897536 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 200968897536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330048781920).

200968897536 is an abundant number, since it is smaller than the sum of its proper divisors (459128666304).

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

200968897536 is a wasteful number, since it uses less digits than its factorization.

200968897536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 200968897536 in words is "two hundred billion, nine hundred sixty-eight million, eight hundred ninety-seven thousand, five hundred thirty-six".