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42496017696 = 25321176117627
BaseRepresentation
bin100111100100111101…
…011100010100100000
311001200121202101002100
4213210331130110200
51144012440031241
631304501050400
73033043122216
oct474475342440
9131617671070
1042496017696
1117027992090
12829b9b6a00
134013219202
1420b1ca2cb6
15118abc79b6
hex9e4f5c520

42496017696 has 144 divisors (see below), whose sum is σ = 132014963808. Its totient is φ = 12859929600.

The previous prime is 42496017637. The next prime is 42496017701. The reversal of 42496017696 is 69671069424.

It is a happy number.

42496017696 is a `hidden beast` number, since 4 + 24 + 9 + 601 + 7 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2402035 + ... + 2419661.

It is an arithmetic number, because the mean of its divisors is an integer number (916770582).

Almost surely, 242496017696 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 42496017696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66007481904).

42496017696 is an abundant number, since it is smaller than the sum of its proper divisors (89518946112).

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

42496017696 is a wasteful number, since it uses less digits than its factorization.

42496017696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18415 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 42496017696 in words is "forty-two billion, four hundred ninety-six million, seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 761 792 1056 1522 1584 2283 3044 3168 4566 6088 6849 8371 9132 12176 13698 16742 17627 18264 24352 25113 27396 33484 35254 36528 50226 52881 54792 66968 70508 73056 75339 100452 105762 109584 133936 141016 150678 158643 193897 200904 211524 219168 267872 282032 301356 317286 387794 401808 423048 564064 581691 602712 634572 775588 803616 846096 1163382 1205424 1269144 1551176 1692192 1745073 2326764 2410848 2538288 3102352 3490146 4653528 5076576 6204704 6980292 9307056 13414147 13960584 18614112 26828294 27921168 40242441 53656588 55842336 80484882 107313176 120727323 147555617 160969764 214626352 241454646 295111234 321939528 429252704 442666851 482909292 590222468 643879056 885333702 965818584 1180444936 1287758112 1328000553 1770667404 1931637168 2360889872 2656001106 3541334808 3863274336 4721779744 5312002212 7082669616 10624004424 14165339232 21248008848 42496017696