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484448668137 = 327219473074007
BaseRepresentation
bin1110000110010110110…
…01000000100111101001
31201022110001122012102100
413003023121000213221
530414122324340022
61010315212124013
750000042510400
oct7031331004751
91638401565370
10484448668137
111774a9709715
1279a80a66609
13368b6316265
1419639ac4637
15c9057161ac
hex70cb6409e9

484448668137 has 144 divisors (see below), whose sum is σ = 878148311040. Its totient is φ = 255778036416.

The previous prime is 484448668097. The next prime is 484448668153. The reversal of 484448668137 is 731866844484.

484448668137 is a `hidden beast` number, since 4 + 8 + 44 + 486 + 6 + 81 + 37 = 666.

It is not a de Polignac number, because 484448668137 - 223 = 484440279529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (484448668337) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120898588 + ... + 120902594.

It is an arithmetic number, because the mean of its divisors is an integer number (6098252160).

Almost surely, 2484448668137 is an apocalyptic number.

484448668137 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

484448668137 is a deficient number, since it is larger than the sum of its proper divisors (393699642903).

484448668137 is a wasteful number, since it uses less digits than its factorization.

484448668137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4390 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 63.

The spelling of 484448668137 in words is "four hundred eighty-four billion, four hundred forty-eight million, six hundred sixty-eight thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 19 21 47 49 57 63 133 141 147 171 307 329 399 423 441 893 921 931 987 1197 2149 2303 2679 2763 2793 2961 4007 5833 6251 6447 6909 8037 8379 12021 14429 15043 17499 18753 19341 20727 28049 36063 40831 43287 43757 45129 52497 56259 76133 84147 101003 122493 129861 131271 135387 188329 196343 228399 252441 274151 285817 303009 367479 393813 532931 564987 589029 685197 707021 822453 857451 909027 1230149 1318303 1598793 1694961 1767087 1919057 2121063 2467359 2572353 3578251 3690447 3730517 3954909 4796379 5757171 6363189 8611043 9228121 10734753 11071341 11191551 11864727 13433399 17271513 23372831 25047757 25833129 27684363 32204259 33574653 40300197 57817003 60277301 70118493 75143271 77499387 83053089 120900591 163609817 173451009 175334299 180831903 210355479 225429813 404719021 490829451 520353027 526002897 542495709 1098523057 1145268719 1214157063 1472488353 1578008691 2833033147 3295569171 3435806157 3642471189 7689661399 8499099441 9886707513 10307418471 23068984197 25497298323 53827629793 69206952591 161482889379 484448668137