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209026980864 = 2103313718191
BaseRepresentation
bin1100001010101011111…
…0101001110000000000
3201222112110010211022000
43002222332221300000
511411041401341424
6240005313344000
721046612010322
oct3025276516000
9658473124260
10209026980864
1180714310569
1234616868000
1316932558180
14a18cd1b612
155685bd03c9
hex30aafa9c00

209026980864 has 352 divisors, whose sum is σ = 676127047680. Its totient is φ = 63402393600.

The previous prime is 209026980863. The next prime is 209026980881. The reversal of 209026980864 is 468089620902.

It is a happy number.

209026980864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 209026980864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209026980863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25515009 + ... + 25523199.

Almost surely, 2209026980864 is an apocalyptic number.

209026980864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209026980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338063523840).

209026980864 is an abundant number, since it is smaller than the sum of its proper divisors (467100066816).

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

209026980864 is a wasteful number, since it uses less digits than its factorization.

209026980864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 209026980864 in words is "two hundred nine billion, twenty-six million, nine hundred eighty thousand, eight hundred sixty-four".