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5086088784 = 2432712374079
BaseRepresentation
bin1001011110010011…
…11000111001010000
3111010110101002011200
410233021320321100
540404014320114
62200404311200
7240016020120
oct45711707120
914113332150
105086088784
11217aa67867
12b9b3a2500
136309414ba
143636b0c80
151eb7ae409
hex12f278e50

5086088784 has 120 divisors (see below), whose sum is σ = 16284552960. Its totient is φ = 1451637504.

The previous prime is 5086088773. The next prime is 5086088801. The reversal of 5086088784 is 4878806805.

5086088784 is a `hidden beast` number, since 508 + 60 + 8 + 8 + 78 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5086088784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244857 + ... + 1248935.

It is an arithmetic number, because the mean of its divisors is an integer number (135704608).

Almost surely, 25086088784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086088784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142276480).

5086088784 is an abundant number, since it is smaller than the sum of its proper divisors (11198464176).

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

5086088784 is a wasteful number, since it uses less digits than its factorization.

5086088784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 5086088784 is about 71316.8197832741. The cubic root of 5086088784 is about 1719.7341377429.

The spelling of 5086088784 in words is "five billion, eighty-six million, eighty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1237 2474 3711 4079 4948 7422 8158 8659 9896 11133 12237 14844 16316 17318 19792 22266 24474 25977 28553 29688 32632 34636 36711 44532 48948 51954 57106 59376 65264 69272 73422 77931 85659 89064 97896 103908 114212 138544 146844 155862 171318 178128 195792 207816 228424 256977 293688 311724 342636 415632 456848 513954 587376 623448 685272 1027908 1246896 1370544 2055816 4111632 5045723 10091446 15137169 20182892 30274338 35320061 40365784 45411507 60548676 70640122 80731568 90823014 105960183 121097352 141280244 181646028 211920366 242194704 282560488 317880549 363292056 423840732 565120976 635761098 726584112 847681464 1271522196 1695362928 2543044392 5086088784