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1378611784449 = 32192205992
BaseRepresentation
bin10100000011111011101…
…010100110101100000001
311212210102211021212111100
4110003323222212230001
5140041344104100244
62533154151005013
7201413166551334
oct24037352465401
94783384255440
101378611784449
11491736459399
121a3226369769
13a0005748623
144aa21bdc61b
1525cda5cab69
hex140fbaa6b01

1378611784449 has 27 divisors (see below), whose sum is σ = 2101753053153. Its totient is φ = 870659910504.

The previous prime is 1378611784447. The next prime is 1378611784481. The reversal of 1378611784449 is 9444871168731.

The square root of 1378611784449 is 1174143.

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

1378611784449 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 611 + 7 + 8 + 4 + 4 + 4 + 9 = 666.

It is not a de Polignac number, because 1378611784449 - 21 = 1378611784447 is a prime.

It is a super-3 number, since 3×13786117844493 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1378611784441) 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 26 ways as a sum of consecutive naturals, for example, 66915852 + ... + 66936450.

Almost surely, 21378611784449 is an apocalyptic number.

1378611784449 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1378611784449 is the 1174143-rd square number.

1378611784449 is the 587072-nd centered octagonal number.

It is an amenable number.

1378611784449 is a deficient number, since it is larger than the sum of its proper divisors (723141268704).

1378611784449 is an frugal number, since it uses more digits than its factorization.

1378611784449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41242 (or 20621 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 1378611784449 in words is "one trillion, three hundred seventy-eight billion, six hundred eleven million, seven hundred eighty-four thousand, four hundred forty-nine".

Divisors: 1 3 9 19 57 171 361 1083 3249 20599 61797 185391 391381 1174143 3522429 7436239 22308717 66926151 424318801 1272956403 3818869209 8062057219 24186171657 72558514971 153179087161 459537261483 1378611784449