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232445135535424 = 2676166112868003
BaseRepresentation
bin110100110110100001011001…
…101110111011110101000000
31010111000112112011012210201121
4310312201121232323311000
5220431340114144113144
62142211453205042024
766650415102105310
oct6466413156736500
91114015464183647
10232445135535424
11680784791a5379
12220a15116b6314
139c916365b7b26
144158594293440
151bd1671001384
hexd36859bbbd40

232445135535424 has 112 divisors (see below), whose sum is σ = 536604825874816. Its totient is φ = 97837992806400.

The previous prime is 232445135535421. The next prime is 232445135535491. The reversal of 232445135535424 is 424535531544232.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2324451355354242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232445135535421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11629807 + ... + 24497809.

Almost surely, 2232445135535424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232445135535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268302412937408).

232445135535424 is an abundant number, since it is smaller than the sum of its proper divisors (304159690339392).

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

232445135535424 is a wasteful number, since it uses less digits than its factorization.

232445135535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12868744 (or 12868734 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 52.

The spelling of 232445135535424 in words is "two hundred thirty-two trillion, four hundred forty-five billion, one hundred thirty-five million, five hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 661 854 976 1322 1708 1952 2644 3416 3904 4627 5288 6832 9254 10576 13664 18508 21152 27328 37016 40321 42304 74032 80642 148064 161284 282247 296128 322568 564494 645136 1128988 1290272 2257976 2580544 4515952 9031904 12868003 18063808 25736006 51472012 90076021 102944024 180152042 205888048 360304084 411776096 720608168 784948183 823552192 1441216336 1569896366 2882432672 3139792732 5494637281 5764865344 6279585464 8505749983 10989274562 12559170928 17011499966 21978549124 25118341856 34022999932 43957098248 50236683712 59540249881 68045999864 87914196496 119080499762 136091999728 175828392992 238160999524 272183999456 351656785984 476321999048 518850748963 544367998912 952643998096 1037701497926 1905287996192 2075402995852 3631955242741 3810575992384 4150805991704 7263910485482 8301611983408 14527820970964 16603223966816 29055641941928 33206447933632 58111283883856 116222567767712 232445135535424