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42730811552 = 25111324138747
BaseRepresentation
bin100111110010111101…
…000111000010100000
311002021222120010201002
4213302331013002200
51200003041432202
631344045331132
73041623622342
oct476275070240
9132258503632
1042730811552
111713847a1a0
128346566aa8
13404ca664a0
1420d5141292
1511a1606302
hex9f2f470a0

42730811552 has 96 divisors (see below), whose sum is σ = 99246337344. Its totient is φ = 17854156800.

The previous prime is 42730811549. The next prime is 42730811573. The reversal of 42730811552 is 25511803724.

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 15 ways as a sum of consecutive naturals, for example, 1083443 + ... + 1122189.

It is an arithmetic number, because the mean of its divisors is an integer number (1033816014).

Almost surely, 242730811552 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 42730811552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49623168672).

42730811552 is an abundant number, since it is smaller than the sum of its proper divisors (56515525792).

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

42730811552 is a wasteful number, since it uses less digits than its factorization.

42730811552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39022 (or 39014 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 42730811552 in words is "forty-two billion, seven hundred thirty million, eight hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 241 286 352 416 482 572 964 1144 1928 2288 2651 3133 3856 4576 5302 6266 7712 10604 12532 21208 25064 34463 38747 42416 50128 68926 77494 84832 100256 137852 154988 275704 309976 426217 503711 551408 619952 852434 1007422 1102816 1239904 1704868 2014844 3409736 4029688 5540821 6819472 8059376 9338027 11081642 13638944 16118752 18676054 22163284 37352108 44326568 74704216 88653136 102718297 121394351 149408432 177306272 205436594 242788702 298816864 410873188 485577404 821746376 971154808 1335337861 1643492752 1942309616 2670675722 3286985504 3884619232 5341351444 10682702888 21365405776 42730811552