Search a number
-
+
5085991662048 = 2532111605426661
BaseRepresentation
bin100101000000010110010…
…1110011111000111100000
3200000012211111121011120100
41022000230232133013200
51131312102331141143
614452250004142400
71033310420554203
oct112005456370740
920005744534510
105085991662048
111690a58779a60
126a1848397a00
132ab7b763592b
1413824019d93a
158c471c2c6d3
hex4a02cb9f1e0

5085991662048 has 72 divisors (see below), whose sum is σ = 15778133234136. Its totient is φ = 1541209593600.

The previous prime is 5085991662019. The next prime is 5085991662113. The reversal of 5085991662048 is 8402661995805.

5085991662048 is a `hidden beast` number, since 5 + 0 + 8 + 599 + 16 + 6 + 20 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×50859916620483 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802710163 + ... + 802716498.

It is an arithmetic number, because the mean of its divisors is an integer number (219140739363).

Almost surely, 25085991662048 is an apocalyptic number.

It is an amenable number.

5085991662048 is an abundant number, since it is smaller than the sum of its proper divisors (10692141572088).

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

5085991662048 is a wasteful number, since it uses less digits than its factorization.

5085991662048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605426688 (or 1605426677 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 5085991662048 in words is "five trillion, eighty-five billion, nine hundred ninety-one million, six hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 1605426661 3210853322 4816279983 6421706644 9632559966 12843413288 14448839949 17659693271 19265119932 25686826576 28897679898 35319386542 38530239864 51373653152 52979079813 57795359796 70638773084 77060479728 105958159626 115590719592 141277546168 154120959456 158937239439 211916319252 231181439184 282555092336 317874478878 423832638504 462362878368 565110184672 635748957756 847665277008 1271497915512 1695330554016 2542995831024 5085991662048