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128945817 = 33711132367
BaseRepresentation
bin1111010111110…
…00111010011001
322222122010102000
413223320322121
5231002231232
620443431213
73124010220
oct753707231
9288563360
10128945817
11668719a0
1237225509
1320939a00
14131a7cb7
15b4c127c
hex7af8e99

128945817 has 96 divisors (see below), whose sum is σ = 258600960. Its totient is φ = 61663680.

The previous prime is 128945743. The next prime is 128945821. The reversal of 128945817 is 718549821.

It is not a de Polignac number, because 128945817 - 212 = 128941721 is a prime.

Its product of digits (161280) is a multiple of the sum of its prime factors (420).

It is not an unprimeable number, because it can be changed into a prime (128945417) 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, 351168 + ... + 351534.

It is an arithmetic number, because the mean of its divisors is an integer number (2693760).

Almost surely, 2128945817 is an apocalyptic number.

It is an amenable number.

128945817 is an abundant number, since it is smaller than the sum of its proper divisors (129655143).

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

128945817 is a wasteful number, since it uses less digits than its factorization.

128945817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 128945817 is about 11355.4311675075. The cubic root of 128945817 is about 505.2066820563.

The spelling of 128945817 in words is "one hundred twenty-eight million, nine hundred forty-five thousand, eight hundred seventeen".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 169 189 231 273 297 351 367 429 507 693 819 1001 1101 1183 1287 1521 1859 2079 2457 2569 3003 3303 3549 3861 4037 4563 4771 5577 7707 9009 9909 10647 12111 13013 14313 16731 23121 27027 28259 31941 33397 36333 39039 42939 50193 52481 62023 69363 84777 100191 108999 117117 128817 157443 186069 254331 300573 351351 367367 434161 472329 558207 682253 762993 901719 1102101 1302483 1416987 1674621 2046759 3306303 3907449 4775771 6140277 9918909 11722347 14327313 18420831 42981939 128945817