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5084089776 = 243231236739
BaseRepresentation
bin1001011110000100…
…10000110110110000
3111010022121112001100
410233002100312300
540403011333101
62200253404400
7236663023113
oct45702206660
914108545040
105084089776
112179921997
12b9a799700
136303c165c
1436331057a
151eb516e86
hex12f090db0

5084089776 has 90 divisors (see below), whose sum is σ = 14702576460. Its totient is φ = 1639984320.

The previous prime is 5084089753. The next prime is 5084089783. The reversal of 5084089776 is 6779804805.

5084089776 is a `hidden beast` number, since 508 + 40 + 8 + 97 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120015 + ... + 156753.

Almost surely, 25084089776 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 5084089776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351288230).

5084089776 is an abundant number, since it is smaller than the sum of its proper divisors (9618486684).

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

5084089776 is a wasteful number, since it uses less digits than its factorization.

5084089776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36815 (or 36775 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5084089776 is about 71302.8034231474. The cubic root of 5084089776 is about 1719.5088033108.

The spelling of 5084089776 in words is "five billion, eighty-four million, eighty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1488 1922 2232 2883 3844 4464 5766 7688 8649 11532 15376 17298 23064 34596 36739 46128 69192 73478 110217 138384 146956 220434 293912 330651 440868 587824 661302 881736 1138909 1322604 1763472 2277818 2645208 3416727 4555636 5290416 6833454 9111272 10250181 13666908 18222544 20500362 27333816 35306179 41000724 54667632 70612358 82001448 105918537 141224716 164002896 211837074 282449432 317755611 423674148 564898864 635511222 847348296 1271022444 1694696592 2542044888 5084089776