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128304105917 = 13241592831109
BaseRepresentation
bin111011101111110000…
…1010100100110111101
3110021011201210220021212
41313133201110212331
54100231322342132
6134535254134205
712161331622511
oct1673741244675
9407151726255
10128304105917
114a460360879
1220a48951365
13c139735100
1462d2172141
15350e0215b2
hex1ddf8549bd

128304105917 has 48 divisors (see below), whose sum is σ = 145376078400. Its totient is φ = 113084075520.

The previous prime is 128304105913. The next prime is 128304105929. The reversal of 128304105917 is 719501403821.

It is not a de Polignac number, because 128304105917 - 22 = 128304105913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128304105913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115692959 + ... + 115694067.

It is an arithmetic number, because the mean of its divisors is an integer number (3028668300).

Almost surely, 2128304105917 is an apocalyptic number.

It is an amenable number.

128304105917 is a deficient number, since it is larger than the sum of its proper divisors (17071972483).

128304105917 is a wasteful number, since it uses less digits than its factorization.

128304105917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 128304105917 in words is "one hundred twenty-eight billion, three hundred four million, one hundred five thousand, nine hundred seventeen".

Divisors: 1 13 41 59 169 283 533 767 1109 2419 3679 6929 9971 11603 14417 16697 31447 45469 47827 65431 150839 187421 217061 313847 408811 591097 684577 850603 1960907 2682671 2821793 4080011 7684261 8899501 11057839 12867727 18516973 34874723 53040143 115693513 167280451 240720649 453371399 759195893 2174645863 3129368437 9869546609 128304105917