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48141684736 = 21217267607
BaseRepresentation
bin101100110101011101…
…111101000000000000
311121021002001222022121
4230311131331000000
51242043232402421
634041015214024
73322665365665
oct546535750000
9147232058277
1048141684736
11194647a9312
1293b6677314
134702a727b2
1424899d7a6c
1513bb66cd41
hexb3577d000

48141684736 has 156 divisors (see below), whose sum is σ = 103965152128. Its totient is φ = 22280011776.

The previous prime is 48141684713. The next prime is 48141684743. The reversal of 48141684736 is 63748614184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79310545 + ... + 79311151.

Almost surely, 248141684736 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 48141684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51982576064).

48141684736 is an abundant number, since it is smaller than the sum of its proper divisors (55823467392).

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

48141684736 is an equidigital number, since it uses as much as digits as its factorization.

48141684736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 693 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 52.

The spelling of 48141684736 in words is "forty-eight billion, one hundred forty-one million, six hundred eighty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 128 134 136 256 268 272 289 512 536 544 578 607 1024 1072 1088 1139 1156 1214 2048 2144 2176 2278 2312 2428 4096 4288 4352 4556 4624 4856 8576 8704 9112 9248 9712 10319 17152 17408 18224 18496 19363 19424 20638 34304 34816 36448 36992 38726 38848 40669 41276 68608 69632 72896 73984 77452 77696 81338 82552 137216 145792 147968 154904 155392 162676 165104 175423 274432 291584 295936 309808 310784 325352 330208 350846 583168 591872 619616 621568 650704 660416 691373 701692 1166336 1183744 1239232 1243136 1301408 1320832 1382746 1403384 2332672 2478464 2486272 2602816 2641664 2765492 2806768 4665344 4956928 5205632 5283328 5530984 5613536 9913856 10411264 10566656 11061968 11227072 11753341 19827712 20822528 21133312 22123936 22454144 23506682 39655424 41645056 42266624 44247872 44908288 47013364 79310848 83290112 88495744 89816576 94026728 166580224 176991488 179633152 188053456 353982976 359266304 376106912 707965952 718532608 752213824 1415931904 1504427648 2831863808 3008855296 6017710592 12035421184 24070842368 48141684736