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116284410025 = 527297432
BaseRepresentation
bin110110001001100010…
…1110100100010101001
3102010011001122002020221
41230103011310202221
53401122302110100
6125230442250041
711254431114400
oct1542305644251
9363131562227
10116284410025
1145352577403
121a6534b6921
13ac72495714
1458b1aa8637
153058bb001a
hex1b131748a9

116284410025 has 27 divisors (see below), whose sum is σ = 167751546231. Its totient is φ = 79729697040.

The previous prime is 116284410019. The next prime is 116284410037. The reversal of 116284410025 is 520014482611.

The square root of 116284410025 is 341005.

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

It can be written as a sum of positive squares in only one way, i.e., 41862387609 + 74422022416 = 204603^2 + 272804^2 .

It is not a de Polignac number, because 116284410025 - 23 = 116284410017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 11930304 + ... + 11940046.

Almost surely, 2116284410025 is an apocalyptic number.

116284410025 is the 341005-th square number.

116284410025 is the 170503-rd centered octagonal number.

It is an amenable number.

116284410025 is a deficient number, since it is larger than the sum of its proper divisors (51467136206).

116284410025 is an frugal number, since it uses more digits than its factorization.

116284410025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19510 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

Adding to 116284410025 its reverse (520014482611), we get a palindrome (636298892636).

The spelling of 116284410025 in words is "one hundred sixteen billion, two hundred eighty-four million, four hundred ten thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 9743 48715 68201 243575 341005 477407 1705025 2387035 11935175 94926049 474630245 664482343 2373151225 3322411715 4651376401 16612058575 23256882005 116284410025