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201212276688 = 24332327112401
BaseRepresentation
bin1011101101100100101…
…1111010111111010000
3201020100211101201111000
42323121023322333100
511244040320323223
6232234033222000
720352141063243
oct2733113727720
9636324351430
10201212276688
11783740a2665
1232bb5701900
1315c88521567
149a4b0c925a
155379ad7543
hex2ed92fafd0

201212276688 has 240 divisors, whose sum is σ = 612309559680. Its totient is φ = 63245952000.

The previous prime is 201212276677. The next prime is 201212276723. The reversal of 201212276688 is 886672212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16219288 + ... + 16231688.

It is an arithmetic number, because the mean of its divisors is an integer number (2551289832).

Almost surely, 2201212276688 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 201212276688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306154779840).

201212276688 is an abundant number, since it is smaller than the sum of its proper divisors (411097282992).

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

201212276688 is a wasteful number, since it uses less digits than its factorization.

201212276688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12535 (or 12500 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 201212276688 in words is "two hundred one billion, two hundred twelve million, two hundred seventy-six thousand, six hundred eighty-eight".