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211361759817796 = 227210384492
BaseRepresentation
bin110000000011101101111110…
…100111001111000001000100
31000201100222122110012120120001
4300003231332213033001010
5210200422341003132141
62025310130233251044
762343245305311400
oct6003557647170104
91021328573176501
10211361759817796
116138a023255795
121b8573a9863a84
1390c2436730303
143a29d6c7a8100
15196800edc7a31
hexc03b7e9cf044

211361759817796 has 27 divisors (see below), whose sum is σ = 430272568256349. Its totient is φ = 90583524120768.

The previous prime is 211361759817763. The next prime is 211361759817821. The reversal of 211361759817796 is 697718957163112.

It is a happy number.

The square root of 211361759817796 is 14538286.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9421744304196 + 201940015513600 = 3069486^2 + 14210560^2 .

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 8 ways as a sum of consecutive naturals, for example, 203016780 + ... + 204055228.

Almost surely, 2211361759817796 is an apocalyptic number.

211361759817796 is the 14538286-th square number.

It is an amenable number.

211361759817796 is an abundant number, since it is smaller than the sum of its proper divisors (218910808438553).

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

211361759817796 is an frugal number, since it uses more digits than its factorization.

211361759817796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076916 (or 1038458 counting only the distinct ones).

The product of its digits is 240045120, while the sum is 73.

The spelling of 211361759817796 in words is "two hundred eleven trillion, three hundred sixty-one billion, seven hundred fifty-nine million, eight hundred seventeen thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 1038449 2076898 4153796 7269143 14538286 29076572 50884001 101768002 203536004 1078376325601 2156752651202 4313505302404 7548634279207 15097268558414 30194537116828 52840439954449 105680879908898 211361759817796