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648128890017 = 327191636135419
BaseRepresentation
bin10010110111001110111…
…11100000010010100001
32021221221012211222202100
421123213133200102201
541104331443440032
61213425111241013
764553144444430
oct11334737402241
92257835758670
10648128890017
1122a962952a64
12a5741079169
134916cb7035b
14235262ab117
1511cd530e97c
hex96e77e04a1

648128890017 has 96 divisors (see below), whose sum is σ = 1135206425600. Its totient is φ = 348081100416.

The previous prime is 648128889997. The next prime is 648128890033. The reversal of 648128890017 is 710098821846.

648128890017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 648128890017 - 26 = 648128889953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (648128891017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119600334 + ... + 119605752.

Almost surely, 2648128890017 is an apocalyptic number.

It is an amenable number.

648128890017 is a deficient number, since it is larger than the sum of its proper divisors (487077535583).

648128890017 is a wasteful number, since it uses less digits than its factorization.

648128890017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 648128890017 in words is "six hundred forty-eight billion, one hundred twenty-eight million, eight hundred ninety thousand, seventeen".

Divisors: 1 3 7 9 19 21 57 63 133 163 171 399 489 613 1141 1197 1467 1839 3097 3423 4291 5419 5517 9291 10269 11647 12873 16257 21679 27873 34941 37933 38619 48771 65037 81529 99919 102961 104823 113799 195111 244587 299757 308883 341397 699433 720727 733761 883297 899271 926649 1898461 2098299 2162181 2649891 3321847 5695383 6183079 6294897 6486543 7949673 9965541 13289227 16782643 17086149 18549237 23252929 29896623 39867681 50347929 55647711 63115093 69758787 117478501 119603043 151043787 189345279 209276361 352435503 441805651 541461061 568035837 1057306509 1325416953 1624383183 3790227427 3976250859 4873149549 10287760159 11370682281 30863280477 34112046843 72014321113 92589841431 216042963339 648128890017