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116445681 = 341121092
BaseRepresentation
bin1101111000011…
…01000111110001
322010010001110000
412330031013301
5214302230211
615315500213
72612525532
oct674150761
9263101400
10116445681
115a804400
1232bb7669
131b181191
1411672689
15a352656
hex6f0d1f1

116445681 has 45 divisors (see below), whose sum is σ = 192971163. Its totient is φ = 69925680.

The previous prime is 116445673. The next prime is 116445683. The reversal of 116445681 is 186544611.

The square root of 116445681 is 10791.

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

116445681 is a `hidden beast` number, since 1 + 1 + 644 + 5 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81162081 + 35283600 = 9009^2 + 5940^2 .

It is not a de Polignac number, because 116445681 - 23 = 116445673 is a prime.

It is a super-2 number, since 2×1164456812 = 27119193247107522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (116445683) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1068255 + ... + 1068363.

Almost surely, 2116445681 is an apocalyptic number.

116445681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

116445681 is the 10791-st square number.

116445681 is the 5396-th centered octagonal number.

It is an amenable number.

116445681 is a deficient number, since it is larger than the sum of its proper divisors (76525482).

116445681 is an equidigital number, since it uses as much as digits as its factorization.

116445681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 123 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The cubic root of 116445681 is about 488.3236915112.

Multiplying 116445681 by its sum of digits (36), we get a square (4192044516 = 647462).

The spelling of 116445681 in words is "one hundred sixteen million, four hundred forty-five thousand, six hundred eighty-one".

Divisors: 1 3 9 11 27 33 81 99 109 121 297 327 363 891 981 1089 1199 2943 3267 3597 8829 9801 10791 11881 13189 32373 35643 39567 97119 106929 118701 130691 320787 356103 392073 962361 1068309 1176219 1437601 3528657 4312803 10585971 12938409 38815227 116445681