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42878537163056 = 24713718177319973
BaseRepresentation
bin10011011111111011011111…
…11110011110000100110000
312121211010222222102212020002
421233331233332132010300
521110010221003204211
6231110043353405132
712013605060161510
oct1157755776360460
9177733888385202
1042878537163056
111273175a429681
1249861934097a8
131ac0575b304ca
14a83491a7b840
154e5580d5203b
hex26ff6ff9e130

42878537163056 has 160 divisors (see below), whose sum is σ = 96295980912768. Its totient is φ = 18117217935360.

The previous prime is 42878537163013. The next prime is 42878537163061. The reversal of 42878537163056 is 65036173587824.

It is a super-3 number, since 3×428785371630563 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42878537162983 and 42878537163001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2146815086 + ... + 2146835058.

Almost surely, 242878537163056 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 42878537163056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48147990456384).

42878537163056 is an abundant number, since it is smaller than the sum of its proper divisors (53417443749712).

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

42878537163056 is a wasteful number, since it uses less digits than its factorization.

42878537163056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21079 (or 21073 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 65.

The spelling of 42878537163056 in words is "forty-two trillion, eight hundred seventy-eight billion, five hundred thirty-seven million, one hundred sixty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 181 274 362 548 724 773 959 1096 1267 1448 1546 1918 2192 2534 2896 3092 3836 5068 5411 6184 7672 10136 10822 12368 15344 19973 20272 21644 24797 39946 43288 49594 79892 86576 99188 105901 139811 139913 159784 173579 198376 211802 279622 279826 319568 347158 396752 423604 559244 559652 694316 741307 847208 979391 1118488 1119304 1388632 1482614 1694416 1958782 2236976 2238608 2736301 2777264 2965228 3615113 3917564 5472602 5930456 7230226 7835128 10945204 11860912 14460452 15439129 15670256 19154107 19168081 21890408 25305791 28920904 30878258 38308214 38336162 43780816 50611582 57841808 61756516 76616428 76672324 101223164 108073903 123513032 134176567 153232856 153344648 202446328 216147806 247026064 268353134 306465712 306689296 404892656 432295612 495270481 536706268 864591224 990540962 1073412536 1729182448 1981081924 2115160673 2146825072 2794482349 3466893367 3962163848 4230321346 5588964698 6933786734 7924327696 8460642692 11177929396 13867573468 14806124711 16921285384 19561376443 22355858792 27735146936 29612249422 33842570768 39122752886 44711717584 55470293872 59224498844 78245505772 118448997688 156491011544 236897995376 312982023088 382844081813 765688163626 1531376327252 2679908572691 3062752654504 5359817145382 6125505309008 10719634290764 21439268581528 42878537163056