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116378546449 = 112310132
BaseRepresentation
bin110110001100010110…
…0111011000100010001
3102010101121202201011011
41230120230323010101
53401320401441244
6125244044050521
711256653215534
oct1543054730421
9363347681134
10116378546449
11453a0723500
121a67ab33a41
13ac88b35349
1458c03b0a1b
1530620a7434
hex1b18b3b111

116378546449 has 9 divisors (see below), whose sum is σ = 127924345339. Its totient is φ = 105795267160.

The previous prime is 116378546437. The next prime is 116378546461. The reversal of 116378546449 is 944645873611.

The square root of 116378546449 is 341143.

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

It is an interprime number because it is at equal distance from previous prime (116378546437) and next prime (116378546461).

It can be written as a sum of positive squares in only one way, i.e., 187553025 + 116190993424 = 13695^2 + 340868^2 .

It is not a de Polignac number, because 116378546449 - 29 = 116378545937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 116378546393 and 116378546402.

It is not an unprimeable number, because it can be changed into a prime (116378546419) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3737067 + ... + 3768079.

Almost surely, 2116378546449 is an apocalyptic number.

116378546449 is the 341143-rd square number.

116378546449 is the 170572-nd centered octagonal number.

It is an amenable number.

116378546449 is a deficient number, since it is larger than the sum of its proper divisors (11545798890).

116378546449 is an frugal number, since it uses more digits than its factorization.

116378546449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62048 (or 31024 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

The spelling of 116378546449 in words is "one hundred sixteen billion, three hundred seventy-eight million, five hundred forty-six thousand, four hundred forty-nine".

Divisors: 1 11 121 31013 341143 3752573 961806169 10579867859 116378546449