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128986856271 = 33713192145423
BaseRepresentation
bin111100000100000110…
…1110011101101001111
3110022221022112012201000
41320020031303231033
54103131113400041
6135131123551343
712214262121360
oct1701015635517
9408838465630
10128986856271
114a780799269
1220bb952b553
13c218014bc0
146358ad9b67
15354de37bb6
hex1e08373b4f

128986856271 has 96 divisors (see below), whose sum is σ = 248221317120. Its totient is φ = 64455683904.

The previous prime is 128986856267. The next prime is 128986856279. The reversal of 128986856271 is 172658689821.

128986856271 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 8 + 68 + 562 + 7 + 1 = 666.

It is not a de Polignac number, because 128986856271 - 22 = 128986856267 is a prime.

It is a super-2 number, since 2×1289868562712 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 128986856199 and 128986856208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128986856279) 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, 814266 + ... + 959688.

It is an arithmetic number, because the mean of its divisors is an integer number (2585638720).

Almost surely, 2128986856271 is an apocalyptic number.

128986856271 is a deficient number, since it is larger than the sum of its proper divisors (119234460849).

128986856271 is a wasteful number, since it uses less digits than its factorization.

128986856271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145490 (or 145465 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 128986856271 in words is "one hundred twenty-eight billion, nine hundred eighty-six million, eight hundred fifty-six thousand, two hundred seventy-one".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 91 117 133 171 189 247 273 351 361 399 513 741 819 1083 1197 1729 2223 2457 2527 3249 3591 4693 5187 6669 7581 9747 14079 15561 22743 32851 42237 46683 68229 98553 126711 145423 295659 436269 886977 1017961 1308807 1890499 2763037 3053883 3926421 5671497 8289111 9161649 13233493 17014491 19341259 24867333 27484947 35919481 39700479 51043473 52497703 58023777 74601999 107758443 119101437 157493109 174071331 251436367 323275329 357304311 367483921 472479327 522213993 682470139 754309101 969825987 1102451763 1417437981 2047410417 2262927303 3307355289 4777290973 6142231251 6788781909 9922065867 14331872919 18426693753 42995618757 128986856271