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48010047406848 = 283267311010361
BaseRepresentation
bin10101110101010001101011…
…10100100100001100000000
320021222201022202021120021100
422322220311310210030000
522243044034114004343
6250035302235054400
713053416505442302
oct1272506564441400
9207881282246240
1048010047406848
111432aa4616182a
1254748038a1400
1320a3435937077
14bbd9ad2db972
15583cb8ca69d3
hex2baa35d24300

48010047406848 has 108 divisors (see below), whose sum is σ = 140490844764088. Its totient is φ = 15764493127680.

The previous prime is 48010047406847. The next prime is 48010047406903. The reversal of 48010047406848 is 84860474001084.

48010047406848 is a `hidden beast` number, since 4 + 8 + 0 + 100 + 474 + 0 + 68 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48010047406794 and 48010047406803.

It is not an unprimeable number, because it can be changed into a prime (48010047406847) 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 11 ways as a sum of consecutive naturals, for example, 155350813 + ... + 155659548.

Almost surely, 248010047406848 is an apocalyptic number.

48010047406848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48010047406848 is an abundant number, since it is smaller than the sum of its proper divisors (92480797357240).

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

48010047406848 is a wasteful number, since it uses less digits than its factorization.

48010047406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311010450 (or 311010433 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 48010047406848 in words is "forty-eight trillion, ten billion, forty-seven million, four hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 536 576 603 768 804 1072 1152 1206 1608 2144 2304 2412 3216 4288 4824 6432 8576 9648 12864 17152 19296 25728 38592 51456 77184 154368 311010361 622020722 933031083 1244041444 1866062166 2488082888 2799093249 3732124332 4976165776 5598186498 7464248664 9952331552 11196372996 14928497328 19904663104 20837694187 22392745992 29856994656 39809326208 41675388374 44785491984 59713989312 62513082561 79618652416 83350776748 89570983968 119427978624 125026165122 166701553496 179141967936 187539247683 238855957248 250052330244 333403106992 358283935872 375078495366 500104660488 666806213984 716567871744 750156990732 1000209320976 1333612427968 1500313981464 2000418641952 2667224855936 3000627962928 4000837283904 5334449711872 6001255925856 8001674567808 12002511851712 16003349135616 24005023703424 48010047406848