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128218077 = 321323293153
BaseRepresentation
bin1111010010001…
…11001111011101
322221021011010200
413221013033131
5230310434302
620420054113
73114556431
oct751071735
9287234120
10128218077
1166415159
1236b34339
13207436b0
14130589c1
15b3ca81c
hex7a473dd

128218077 has 96 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 69189120.

The previous prime is 128218009. The next prime is 128218081. The reversal of 128218077 is 770812821.

It is a happy number.

It is not a de Polignac number, because 128218077 - 27 = 128217949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128218877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2419183 + ... + 2419235.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2128218077 is an apocalyptic number.

It is an amenable number.

128218077 is a deficient number, since it is larger than the sum of its proper divisors (98219043).

128218077 is a wasteful number, since it uses less digits than its factorization.

128218077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 128218077 is about 11323.3421303076. The cubic root of 128218077 is about 504.2544656994.

The spelling of 128218077 in words is "one hundred twenty-eight million, two hundred eighteen thousand, seventy-seven".

Divisors: 1 3 9 13 23 29 31 39 53 69 87 93 117 159 207 261 279 299 377 403 477 667 689 713 897 899 1131 1209 1219 1537 1643 2001 2067 2139 2691 2697 3393 3627 3657 4611 4929 6003 6201 6417 8091 8671 9269 10971 11687 13833 14787 15847 19981 20677 21359 26013 27807 35061 35351 37789 47541 47647 59943 62031 64077 78039 83421 105183 106053 113367 142623 142941 179829 186093 192231 268801 318159 340101 428823 459563 491257 619411 806403 1095881 1378689 1473771 1858233 2419209 3287643 4136067 4421313 5574699 9862929 14246453 42739359 128218077