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42673538336 = 25111322331189
BaseRepresentation
bin100111101111100010…
…101000010100100000
311002010222210100121212
4213233202220110200
51144343411211321
631334242005252
73040330043132
oct475742502440
9132128710555
1042673538336
1117109110a60
12832b346828
134040c32700
1420cb6b3052
15119b59155b
hex9ef8a8520

42673538336 has 144 divisors (see below), whose sum is σ = 103561778880. Its totient is φ = 17125954560.

The previous prime is 42673538317. The next prime is 42673538393. The reversal of 42673538336 is 63383537624.

It is a super-2 number, since 2×426735383362 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1352630 + ... + 1383818.

It is an arithmetic number, because the mean of its divisors is an integer number (719179020).

Almost surely, 242673538336 is an apocalyptic number.

42673538336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42673538336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51780889440).

42673538336 is an abundant number, since it is smaller than the sum of its proper divisors (60888240544).

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

42673538336 is a wasteful number, since it uses less digits than its factorization.

42673538336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31259 (or 31238 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 50.

The spelling of 42673538336 in words is "forty-two billion, six hundred seventy-three million, five hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 88 92 104 143 169 176 184 208 253 286 299 338 352 368 416 506 572 598 676 736 1012 1144 1196 1352 1859 2024 2288 2392 2704 3289 3718 3887 4048 4576 4784 5408 6578 7436 7774 8096 9568 13156 14872 15548 26312 29744 31096 31189 42757 52624 59488 62192 62378 85514 105248 124384 124756 171028 249512 342056 343079 405457 499024 684112 686158 717347 810914 998048 1368224 1372316 1434694 1621828 2744632 2869388 3243656 4460027 5270941 5489264 5738776 6487312 7890817 8920054 9325511 10541882 10978528 11477552 12974624 15781634 17840108 18651022 21083764 22955104 31563268 35680216 37302044 42167528 57980351 63126536 71360432 74604088 84335056 102580621 115960702 121231643 126253072 142720864 149208176 168670112 205161242 231921404 242463286 252506144 298416352 410322484 463842808 484926572 820644968 927685616 969853144 1333548073 1641289936 1855371232 1939706288 2667096146 3282579872 3879412576 5334192292 10668384584 21336769168 42673538336