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11278078141225 = 527222924192
BaseRepresentation
bin1010010000011110000111…
…0101110110001100101001
31110221011200122201220012011
42210013201311312030221
52434240001001004400
635553024431115521
72242546201322200
oct244074165661451
943834618656164
1011278078141225
113659008101255
121321925672ba1
1363a69765cc9c
142adc0d078237
1514857e5228ba
hexa41e1d76329

11278078141225 has 81 divisors (see below), whose sum is σ = 16378491308517. Its totient is φ = 7681391847360.

The previous prime is 11278078141223. The next prime is 11278078141237. The reversal of 11278078141225 is 52214187087211.

The square root of 11278078141225 is 3358285.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1539234754281 + 9738843386944 = 1240659^2 + 3120712^2 .

It is not a de Polignac number, because 11278078141225 - 21 = 11278078141223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11278078141223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26916654066 + ... + 26916654484.

Almost surely, 211278078141225 is an apocalyptic number.

11278078141225 is the 3358285-th square number.

11278078141225 is the 1679143-rd centered octagonal number.

It is an amenable number.

11278078141225 is a deficient number, since it is larger than the sum of its proper divisors (5100413167292).

11278078141225 is an frugal number, since it uses more digits than its factorization.

11278078141225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 49.

Multiplying 11278078141225 by its sum of digits (49), we get a square (552625828920025 = 235079952).

11278078141225 divided by its sum of digits (49) gives a square (230164860025 = 4797552).

The spelling of 11278078141225 in words is "eleven trillion, two hundred seventy-eight billion, seventy-eight million, one hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 229 245 419 1145 1225 1603 2095 2933 5725 8015 10475 11221 14665 20531 40075 52441 56105 73325 95951 102655 175561 262205 280525 367087 479755 513275 671657 877805 1228927 1311025 1835435 2398775 2569609 3358285 4389025 4701599 6144635 8602489 9177175 12848045 16791425 21972779 23507995 30723175 40203469 43012445 64240225 109863895 117539975 153809453 201017345 215062225 281424283 549319475 769047265 1005086725 1076666171 1407121415 1969969981 3845236325 5383330855 7035607075 9206594401 9849849905 26916654275 46032972005 49249249525 64446160807 230164860025 322230804035 451123125649 1611154020175 2255615628245 11278078141225