Search a number
-
+
827801077168 = 241324683161237
BaseRepresentation
bin11000000101111001100…
…10100000010110110000
32221010200212202210022101
430002330302200112300
5102030314033432133
61432141521550144
7113543453026102
oct14027462402660
92833625683271
10827801077168
1129a08314452a
12114524aa5354
13600a48c94b0
142c0cc733572
15167edd6337d
hexc0bcca05b0

827801077168 has 40 divisors (see below), whose sum is σ = 1727319475728. Its totient is φ = 382044187392.

The previous prime is 827801077139. The next prime is 827801077183. The reversal of 827801077168 is 861770108728.

It is a super-3 number, since 3×8278010771683 (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5053446 + ... + 5214682.

Almost surely, 2827801077168 is an apocalyptic number.

It is an amenable number.

827801077168 is an abundant number, since it is smaller than the sum of its proper divisors (899518398560).

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

827801077168 is a wasteful number, since it uses less digits than its factorization.

827801077168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185941 (or 185935 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 55.

The spelling of 827801077168 in words is "eight hundred twenty-seven billion, eight hundred one million, seventy-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 24683 49366 98732 161237 197464 320879 322474 394928 641758 644948 1283516 1289896 2096081 2567032 2579792 4192162 5134064 8384324 16768648 33537296 3979812871 7959625742 15919251484 31838502968 51737567323 63677005936 103475134646 206950269292 413900538584 827801077168