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211606740635136 = 29371131107539389
BaseRepresentation
bin110000000111010010001000…
…100110111000111000000000
31000202020101222120211112110020
4300013102020212320320000
5210213431101100311021
62030014443350333440
762400040204020510
oct6007221046707000
91022211876745406
10211606740635136
1161473a0756a7a0
121b89697935a280
13910c5789a5222
143a37b6c763840
15196e59c24b7c6
hexc074889b8e00

211606740635136 has 640 divisors, whose sum is σ = 732290638970880. Its totient is φ = 52692597964800.

The previous prime is 211606740635119. The next prime is 211606740635209. The reversal of 211606740635136 is 631536047606112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392038530 + ... + 392577918.

It is an arithmetic number, because the mean of its divisors is an integer number (1144204123392).

Almost surely, 2211606740635136 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 211606740635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366145319485440).

211606740635136 is an abundant number, since it is smaller than the sum of its proper divisors (520683898335744).

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

211606740635136 is a wasteful number, since it uses less digits than its factorization.

211606740635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539566 (or 539550 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 211606740635136 in words is "two hundred eleven trillion, six hundred six billion, seven hundred forty million, six hundred thirty-five thousand, one hundred thirty-six".