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200210248132692 = 22371929731911991559
BaseRepresentation
bin101101100001011100010100…
…101110000110100001010100
3222020212220122102120211020220
4231201130110232012201110
5202220221042010221232
61545451152424354340
760112466406050430
oct5541342456064124
9866786572524226
10200210248132692
115887a7646672a6
121a5561070159b0
13879398c805ca5
143762328bb99c0
151822ddc08742c
hexb61714b86854

200210248132692 has 768 divisors, whose sum is σ = 595781222400000. Its totient is φ = 51045859307520.

The previous prime is 200210248132681. The next prime is 200210248132693. The reversal of 200210248132692 is 296231842012002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210248132693) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 128422223809 + ... + 128422225367.

It is an arithmetic number, because the mean of its divisors is an integer number (775756800000).

Almost surely, 2200210248132692 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 200210248132692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297890611200000).

200210248132692 is an abundant number, since it is smaller than the sum of its proper divisors (395570974267308).

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

200210248132692 is a wasteful number, since it uses less digits than its factorization.

200210248132692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 200210248132692 in words is "two hundred trillion, two hundred ten billion, two hundred forty-eight million, one hundred thirty-two thousand, six hundred ninety-two".