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213424355626614 = 232114139296691337
BaseRepresentation
bin110000100001101110111010…
…111001110100111001110110
31000222200011120022002222112200
4300201232322321310321312
5210433221040020022424
62033525443451525330
762645254330361046
oct6041567271647166
91028604508088480
10213424355626614
1162004840876180
121bb2b0a0a59846
139211aa4457bc2
143a9bb1877b726
1519a19cd45b8c9
hexc21bbae74e76

213424355626614 has 96 divisors (see below), whose sum is σ = 516893013131040. Its totient is φ = 63080562739200.

The previous prime is 213424355626609. The next prime is 213424355626661. The reversal of 213424355626614 is 416626553424312.

213424355626614 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 2 + 4 + 3 + 5 + 5 + 626 + 6 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28549954 + ... + 35241290.

It is an arithmetic number, because the mean of its divisors is an integer number (5384302220115).

Almost surely, 2213424355626614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213424355626614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258446506565520).

213424355626614 is an abundant number, since it is smaller than the sum of its proper divisors (303468657504426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213424355626614 is a wasteful number, since it uses less digits than its factorization.

213424355626614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695326 (or 6695323 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 213424355626614 in words is "two hundred thirteen trillion, four hundred twenty-four billion, three hundred fifty-five million, six hundred twenty-six thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 3929 4059 7858 8118 11787 23574 35361 43219 70722 86438 129657 161089 259314 322178 388971 483267 777942 966534 1449801 1771979 2899602 3543958 5315937 6691337 10631874 13382674 15947811 20074011 31895622 40148022 60222033 73604707 120444066 147209414 220814121 274344817 441628242 548689634 662442363 823034451 1324884726 1646068902 2469103353 3017792987 4938206706 6035585974 9053378961 18106757922 26290263073 27160136883 52580526146 54320273766 78870789219 157741578438 236612367657 289192893803 473224735314 578385787606 867578681409 1077900785993 1735157362818 2155801571986 2602736044227 3233702357979 5205472088454 6467404715958 9701107073937 11856908645923 19402214147874 23713817291846 35570725937769 71141451875538 106712177813307 213424355626614