Search a number
-
+
171855204072 = 23371555718149
BaseRepresentation
bin1010000000001101011…
…1100100111011101000
3121102120212212220200020
42200003113210323220
510303424413012242
6210541005240440
715262506063246
oct2400327447350
9542525786606
10171855204072
1166979867482
1229381b63120
131328a405186
1484641dd796
15470c65a6ec
hex28035e4ee8

171855204072 has 64 divisors (see below), whose sum is σ = 435791664000. Its totient is φ = 56464961280.

The previous prime is 171855204043. The next prime is 171855204083. The reversal of 171855204072 is 270402558171.

It is a super-2 number, since 2×1718552040722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9460054 + ... + 9478202.

It is an arithmetic number, because the mean of its divisors is an integer number (6809244750).

Almost surely, 2171855204072 is an apocalyptic number.

171855204072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

171855204072 is an abundant number, since it is smaller than the sum of its proper divisors (263936459928).

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

171855204072 is a wasteful number, since it uses less digits than its factorization.

171855204072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23786 (or 23782 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 171855204072 in words is "one hundred seventy-one billion, eight hundred fifty-five million, two hundred four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 5557 11114 16671 18149 22228 33342 36298 44456 54447 66684 72596 108894 133368 145192 217788 394547 435576 789094 1183641 1288579 1578188 2367282 2577158 3156376 3865737 4734564 5154316 7731474 9469128 10308632 15462948 30925896 100853993 201707986 302561979 403415972 605123958 806831944 1210247916 2420495832 7160633503 14321267006 21481900509 28642534012 42963801018 57285068024 85927602036 171855204072