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2544973730442 = 23211134432231881
BaseRepresentation
bin100101000010001100010…
…000010101001010001010
3100000022000121001210012200
4211002030100111022022
5313144101233333232
65225051135221030
7351603551532153
oct45021420251212
910008017053180
102544973730442
118a1354361650
12351296677776
13155cb4026260
148b26aa6492a
15463020b077c
hex2508c41528a

2544973730442 has 96 divisors (see below), whose sum is σ = 6492741143616. Its totient is φ = 710273491200.

The previous prime is 2544973730441. The next prime is 2544973730473. The reversal of 2544973730442 is 2440373794452.

2544973730442 is a `hidden beast` number, since 2 + 5 + 44 + 97 + 3 + 73 + 0 + 442 = 666.

It is not an unprimeable number, because it can be changed into a prime (2544973730441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24342 + ... + 2256222.

It is an arithmetic number, because the mean of its divisors is an integer number (67632720246).

Almost surely, 22544973730442 is an apocalyptic number.

2544973730442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544973730442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246370571808).

2544973730442 is an abundant number, since it is smaller than the sum of its proper divisors (3947767413174).

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

2544973730442 is a wasteful number, since it uses less digits than its factorization.

2544973730442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232356 (or 2232353 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 2544973730442 in words is "two trillion, five hundred forty-four billion, nine hundred seventy-three million, seven hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 443 858 886 1287 1329 2574 2658 3987 4873 5759 7974 9746 11518 14619 17277 29238 34554 43857 51831 63349 87714 103662 126698 190047 380094 570141 1140282 2231881 4463762 6695643 13391286 20086929 24550691 29014453 40173858 49101382 58028906 73652073 87043359 147304146 174086718 220956219 261130077 319158983 441912438 522260154 638317966 957476949 988723283 1914953898 1977446566 2872430847 2966169849 5744861694 5932339698 8898509547 10875956113 12853402679 17797019094 21751912226 25706805358 32627868339 38560208037 65255736678 77120416074 97883605017 115680624111 141387429469 195767210034 231361248222 282774858938 424162288407 848324576814 1272486865221 2544973730442