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5003774496 = 2532717314347
BaseRepresentation
bin1001010100011111…
…11000101000100000
3110220201111002012100
410222033320220200
540221431240441
62144304130400
7234666244560
oct45217705040
913821432170
105003774496
112138555926
12b77906a00
13619880916
143567a4da0
151e444ecb6
hex12a3f8a20

5003774496 has 144 divisors (see below), whose sum is σ = 16357408704. Its totient is φ = 1421286912.

The previous prime is 5003774459. The next prime is 5003774497. The reversal of 5003774496 is 6944773005.

5003774496 is a `hidden beast` number, since 500 + 37 + 74 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5003774497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341595 + ... + 355941.

It is an arithmetic number, because the mean of its divisors is an integer number (113593116).

Almost surely, 25003774496 is an apocalyptic number.

5003774496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5003774496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178704352).

5003774496 is an abundant number, since it is smaller than the sum of its proper divisors (11353634208).

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

5003774496 is a wasteful number, since it uses less digits than its factorization.

5003774496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14543 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5003774496 is about 70737.3628007152. The cubic root of 5003774496 is about 1710.4061249392.

The spelling of 5003774496 in words is "five billion, three million, seven hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 173 224 252 288 336 346 504 519 672 692 1008 1038 1211 1384 1557 2016 2076 2422 2768 3114 3633 4152 4844 5536 6228 7266 8304 9688 10899 12456 14347 14532 16608 19376 21798 24912 28694 29064 38752 43041 43596 49824 57388 58128 86082 87192 100429 114776 116256 129123 172164 174384 200858 229552 258246 301287 344328 348768 401716 459104 516492 602574 688656 803432 903861 1032984 1205148 1377312 1606864 1807722 2065968 2410296 2482031 3213728 3615444 4131936 4820592 4964062 7230888 7446093 9641184 9928124 14461776 14892186 17374217 19856248 22338279 28923552 29784372 34748434 39712496 44676558 52122651 59568744 69496868 79424992 89353116 104245302 119137488 138993736 156367953 178706232 208490604 238274976 277987472 312735906 357412464 416981208 555974944 625471812 714824928 833962416 1250943624 1667924832 2501887248 5003774496