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48004981328448 = 2633199139601309
BaseRepresentation
bin10101110101001000001111…
…10111000000101001000000
320021222020020200120010012000
422322210013313000221000
522243003200210002243
6250033103423304000
713053150121463364
oct1272440767005100
9207866220503160
1048004981328448
1114328886522081
12547382b14b000
1320a2b091b0941
14bbd64c5592a4
15583abe14b5d3
hex2ba907dc0a40

48004981328448 has 112 divisors (see below), whose sum is σ = 141834930960000. Its totient is φ = 15921249974784.

The previous prime is 48004981328419. The next prime is 48004981328449. The reversal of 48004981328448 is 84482318940084.

48004981328448 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 498 + 132 + 8 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×480049813284482 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48004981328449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69456783 + ... + 70144526.

Almost surely, 248004981328448 is an apocalyptic number.

48004981328448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48004981328448 is an abundant number, since it is smaller than the sum of its proper divisors (93829949631552).

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

48004981328448 is a wasteful number, since it uses less digits than its factorization.

48004981328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139601529 (or 139601513 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 48004981328448 in words is "forty-eight trillion, four billion, nine hundred eighty-one million, three hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 199 216 288 398 432 576 597 796 864 1194 1592 1728 1791 2388 3184 3582 4776 5373 6368 7164 9552 10746 12736 14328 19104 21492 28656 38208 42984 57312 85968 114624 171936 343872 139601309 279202618 418803927 558405236 837607854 1116810472 1256411781 1675215708 2233620944 2512823562 3350431416 3769235343 4467241888 5025647124 6700862832 7538470686 8934483776 10051294248 13401725664 15076941372 20102588496 26803451328 27780660491 30153882744 40205176992 55561320982 60307765488 80410353984 83341981473 111122641964 120615530976 166683962946 222245283928 241231061952 250025944419 333367925892 444490567856 500051888838 666735851784 750077833257 888981135712 1000103777676 1333471703568 1500155666514 1777962271424 2000207555352 2666943407136 3000311333028 4000415110704 5333886814272 6000622666056 8000830221408 12001245332112 16001660442816 24002490664224 48004981328448