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378199170441 = 36227772
BaseRepresentation
bin1011000000011100110…
…11010101110110001001
31100011012100110111000000
411200032123111312021
522144022441423231
6445424200433213
736216061623111
oct5401633256611
91304170414000
10378199170441
11136436632494
126136a178809
1329882b42bb1
141443aa6a041
159c87a0d6e6
hex580e6d5d89

378199170441 has 21 divisors (see below), whose sum is σ = 567064256151. Its totient is φ = 252121710672.

The previous prime is 378199170431. The next prime is 378199170449. The reversal of 378199170441 is 144071991873.

It is a happy number.

The square root of 378199170441 is 614979.

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

378199170441 is a `hidden beast` number, since 3 + 7 + 8 + 199 + 1 + 7 + 0 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 340910015625 + 37289154816 = 583875^2 + 193104^2 .

It is not a de Polignac number, because 378199170441 - 213 = 378199162249 is a prime.

It is a super-2 number, since 2×3781991704412 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (378199170449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16593045 + ... + 16615821.

Almost surely, 2378199170441 is an apocalyptic number.

378199170441 is the 614979-th square number.

378199170441 is the 307490-th centered octagonal number.

It is an amenable number.

378199170441 is a deficient number, since it is larger than the sum of its proper divisors (188865085710).

378199170441 is an frugal number, since it uses more digits than its factorization.

378199170441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45572 (or 22780 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 378199170441 in words is "three hundred seventy-eight billion, one hundred ninety-nine million, one hundred seventy thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 243 729 22777 68331 204993 614979 1844937 5534811 16604433 518791729 1556375187 4669125561 14007376683 42022130049 126066390147 378199170441