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116427676225 = 527297492
BaseRepresentation
bin110110001101110100…
…0010101101001000001
3102010112001012202112111
41230123220111221001
53401420441114400
6125253001055321
711261120630200
oct1543350255101
9363461182474
10116427676225
114541642a423
121a693487541
13ac96077613
1458c6b1d237
15306655e3ba
hex1b1ba15a41

116427676225 has 27 divisors (see below), whose sum is σ = 167958211017. Its totient is φ = 79827931680.

The previous prime is 116427676223. The next prime is 116427676273. The reversal of 116427676225 is 522676724611.

The square root of 116427676225 is 341215.

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 30583364161 + 85844312064 = 174881^2 + 292992^2 .

It is not a de Polignac number, because 116427676225 - 21 = 116427676223 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 (116427676223) 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 26 ways as a sum of consecutive naturals, for example, 11937651 + ... + 11947399.

Almost surely, 2116427676225 is an apocalyptic number.

116427676225 is the 341215-th square number.

116427676225 is the 170608-th centered octagonal number.

It is an amenable number.

116427676225 is a deficient number, since it is larger than the sum of its proper divisors (51530534792).

116427676225 is an frugal number, since it uses more digits than its factorization.

116427676225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19522 (or 9761 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

Multiplying 116427676225 by its sum of digits (49), we get a square (5704956135025 = 23885052).

116427676225 divided by its sum of digits (49) gives a square (2376075025 = 487452).

It can be divided in two parts, 11642 and 7676225, that added together give a palindrome (7687867).

The spelling of 116427676225 in words is "one hundred sixteen billion, four hundred twenty-seven million, six hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 9749 48745 68243 243725 341215 477701 1706075 2388505 11942525 95043001 475215005 665301007 2376075025 3326505035 4657107049 16632525175 23285535245 116427676225