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113810640594849 = 32114293892
BaseRepresentation
bin11001111000001010011010…
…110011011110011110100001
3112220222012011020010000121100
4121320022122303132132201
5104404133142443013344
61042015515252345013
732654355525243252
oct3170123263363641
9486865136100540
10113810640594849
1133299904640000
1210921321315169
134b673b33a82a3
142016670434b29
15d25721492569
hex67829acde7a1

113810640594849 has 45 divisors (see below), whose sum is σ = 180837492688515. Its totient is φ = 68973798809520.

The previous prime is 113810640594829. The next prime is 113810640594857. The reversal of 113810640594849 is 948495046018311.

The square root of 113810640594849 is 10668207.

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

113810640594849 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 106 + 40 + 5 + 9 + 484 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32112542904849 + 81698097690000 = 5666793^2 + 9038700^2 .

It is not a de Polignac number, because 113810640594849 - 233 = 113802050660257 is a prime.

It is a super-2 number, since 2×1138106405948492 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113810640594829) 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, 3872544447 + ... + 3872573835.

Almost surely, 2113810640594849 is an apocalyptic number.

113810640594849 is the 10668207-th square number.

113810640594849 is the 5334104-th centered octagonal number.

It is an amenable number.

113810640594849 is a deficient number, since it is larger than the sum of its proper divisors (67026852093666).

113810640594849 is an frugal number, since it uses more digits than its factorization.

113810640594849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58828 (or 29403 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 113810640594849 in words is "one hundred thirteen trillion, eight hundred ten billion, six hundred forty million, five hundred ninety-four thousand, eight hundred forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3993 11979 14641 29389 43923 88167 131769 264501 323279 969837 2909511 3556069 10668207 32004621 39116759 117350277 352050831 430284349 863713321 1290853047 2591139963 3872559141 7773419889 9500846531 28502539593 85507618779 104509311841 313527935523 940583806569 1149602430251 3448807290753 10346421872259 12645626732761 37936880198283 113810640594849