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42262903259648 = 292941127546643
BaseRepresentation
bin10011001110000000110010…
…10101100000001000000000
312112122021221101122020001022
421213000121111200020000
521014413411213302043
6225515150522325012
711621252066301251
oct1147003125401000
9175567841566038
1042262903259648
111251466210a055
1248a6a00959768
131a774b421a7a6
14a6176d322b28
154d454d706868
hex267019560200

42262903259648 has 160 divisors (see below), whose sum is σ = 90190487439360. Its totient is φ = 19748382474240.

The previous prime is 42262903259609. The next prime is 42262903259653. The reversal of 42262903259648 is 84695230926224.

It is a super-3 number, since 3×422629032596483 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77040215 + ... + 77586857.

It is an arithmetic number, because the mean of its divisors is an integer number (563690546496).

Almost surely, 242262903259648 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 42262903259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45095243719680).

42262903259648 is an abundant number, since it is smaller than the sum of its proper divisors (47927584179712).

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

42262903259648 is a wasteful number, since it uses less digits than its factorization.

42262903259648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546858 (or 546842 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 62.

The spelling of 42262903259648 in words is "forty-two trillion, two hundred sixty-two billion, nine hundred three million, two hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 127 128 164 232 254 256 328 464 508 512 656 928 1016 1189 1312 1856 2032 2378 2624 3683 3712 4064 4756 5207 5248 7366 7424 8128 9512 10414 10496 14732 14848 16256 19024 20828 20992 29464 32512 38048 41656 58928 65024 76096 83312 117856 151003 152192 166624 235712 302006 304384 333248 471424 546643 604012 608768 666496 942848 1093286 1208024 1332992 1885696 2186572 2416048 2665984 4373144 4832096 8746288 9664192 15852647 17492576 19328384 22412363 31705294 34985152 38656768 44824726 63410588 69423661 69970304 77313536 89649452 126821176 138847322 139940608 179298904 253642352 277694644 279881216 358597808 507284704 555389288 649958527 717195616 1014569408 1110778576 1299917054 1434391232 2013286169 2029138816 2221557152 2599834108 2846370101 2868782464 4026572338 4058277632 4443114304 5199668216 5692740202 5737564928 8053144676 8116555264 8886228608 10399336432 11385480404 11475129856 16106289352 17772457216 20798672864 22770960808 32212578704 35544914432 41597345728 45541921616 64425157408 82544732929 83194691456 91083843232 128850314816 165089465858 166389382912 182167686464 257700629632 330178931716 332778765824 364335372928 515401259264 660357863432 728670745856 1030802518528 1320715726864 1457341491712 2641431453728 5282862907456 10565725814912 21131451629824 42262903259648