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48005306450496 = 263283342545921
BaseRepresentation
bin10101110101001000110110…
…01111010000001001000000
320021222021002100100000210100
422322210123033100021000
522243004331422403441
6250033200000002400
713053161150124153
oct1272443317201100
9207867070300710
1048005306450496
1114328a32aa508a
125473900000400
1320a2b5b666355
14bbd67d7cbc9a
15583adc96dcb6
hex2ba91b3d0240

48005306450496 has 42 divisors (see below), whose sum is σ = 137598543317222. Its totient is φ = 16001768816640.

The previous prime is 48005306450477. The next prime is 48005306450501. The reversal of 48005306450496 is 69405460350084.

48005306450496 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 530 + 64 + 5 + 0 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38822370177600 + 9182936272896 = 6230760^2 + 3030336^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 41671272385 + ... + 41671273536.

Almost surely, 248005306450496 is an apocalyptic number.

It is an amenable number.

48005306450496 is an abundant number, since it is smaller than the sum of its proper divisors (89593236866726).

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

48005306450496 is a wasteful number, since it uses less digits than its factorization.

48005306450496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83342545939 (or 83342545926 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 48005306450496 in words is "forty-eight trillion, five billion, three hundred six million, four hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 83342545921 166685091842 250027637763 333370183684 500055275526 666740367368 750082913289 1000110551052 1333480734736 1500165826578 2000221102104 2666961469472 3000331653156 4000442204208 5333922938944 6000663306312 8000884408416 12001326612624 16001768816832 24002653225248 48005306450496