Search a number
-
+
28141817256 = 2333723809231
BaseRepresentation
bin11010001101011000…
…100000110110101000
32200122020210102212000
4122031120200312220
5430113301123011
620532252451000
72014244333310
oct321530406650
980566712760
1028141817256
1110a3135a913
125554779a60
132866413297
14150d748440
15aea92b356
hex68d620da8

28141817256 has 128 divisors (see below), whose sum is σ = 93223526400. Its totient is φ = 7690921920.

The previous prime is 28141817251. The next prime is 28141817257. The reversal of 28141817256 is 65271814182.

28141817256 is a `hidden beast` number, since 281 + 41 + 81 + 7 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (28141817251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369840 + ... + 439391.

It is an arithmetic number, because the mean of its divisors is an integer number (728308800).

Almost surely, 228141817256 is an apocalyptic number.

It is an amenable number.

28141817256 is an abundant number, since it is smaller than the sum of its proper divisors (65081709144).

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

28141817256 is a wasteful number, since it uses less digits than its factorization.

28141817256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809276 (or 809266 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 28141817256 in words is "twenty-eight billion, one hundred forty-one million, eight hundred seventeen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1656 1932 2484 2898 3864 4347 4968 5796 8694 11592 17388 34776 809231 1618462 2427693 3236924 4855386 5664617 6473848 7283079 9710772 11329234 14566158 16993851 18612313 19421544 21849237 22658468 29132316 33987702 37224626 43698474 45316936 50981553 55836939 58264632 67975404 74449252 87396948 101963106 111673878 130286191 135950808 148898504 152944659 167510817 174793896 203926212 223347756 260572382 305889318 335021634 390858573 407852424 446695512 502532451 521144764 611778636 670043268 781717146 1005064902 1042289528 1172575719 1223557272 1340086536 1563434292 2010129804 2345151438 3126868584 3517727157 4020259608 4690302876 7035454314 9380605752 14070908628 28141817256