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113742284049 = 36124912
BaseRepresentation
bin110100111101110010…
…0011000010100010001
3101212120220011201000000
41221323210120110101
53330421011042144
6124130311520213
711134432314402
oct1517344302421
9355526151000
10113742284049
1144268610549
121a064089069
13a958906b74
14571020d9a9
152e5a912769
hex1a7b918511

113742284049 has 21 divisors (see below), whose sum is σ = 170549067289. Its totient is φ = 75822118740.

The previous prime is 113742284041. The next prime is 113742284093. The reversal of 113742284049 is 940482247311.

The square root of 113742284049 is 337257.

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

113742284049 is a `hidden beast` number, since 1 + 13 + 7 + 4 + 228 + 404 + 9 = 666.

It is not a de Polignac number, because 113742284049 - 23 = 113742284041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113742283995 and 113742284013.

It is not an unprimeable number, because it can be changed into a prime (113742284041) 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 20 ways as a sum of consecutive naturals, for example, 9099694 + ... + 9112184.

Almost surely, 2113742284049 is an apocalyptic number.

113742284049 is the 337257-th square number.

113742284049 is the 168629-th centered octagonal number.

It is an amenable number.

113742284049 is a deficient number, since it is larger than the sum of its proper divisors (56806783240).

113742284049 is an frugal number, since it uses more digits than its factorization.

113742284049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25000 (or 12494 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 113742284049 in words is "one hundred thirteen billion, seven hundred forty-two million, two hundred eighty-four thousand, forty-nine".

Divisors: 1 3 9 27 81 243 729 12491 37473 112419 337257 1011771 3035313 9105939 156025081 468075243 1404225729 4212677187 12638031561 37914094683 113742284049