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5084109936 = 243368317231
BaseRepresentation
bin1001011110000100…
…10101110001110000
3111010022122112201000
410233002111301300
540403013004221
62200254042000
7236663135643
oct45702256160
914108575630
105084109936
112179936054
12b9a7a9300
136303ca899
14363317a5a
151eb51ce26
hex12f095c70

5084109936 has 80 divisors (see below), whose sum is σ = 14615493120. Its totient is φ = 1692123840.

The previous prime is 5084109931. The next prime is 5084109941. The reversal of 5084109936 is 6399014805.

It is a happy number.

5084109936 is a `hidden beast` number, since 508 + 4 + 109 + 9 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (5084109931) and next prime (5084109941).

It is a junction number, because it is equal to n+sod(n) for n = 5084109891 and 5084109900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084109931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286441 + ... + 303671.

It is an arithmetic number, because the mean of its divisors is an integer number (182693664).

Almost surely, 25084109936 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 5084109936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307746560).

5084109936 is an abundant number, since it is smaller than the sum of its proper divisors (9531383184).

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

5084109936 is a wasteful number, since it uses less digits than its factorization.

5084109936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17931 (or 17919 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5084109936 is about 71302.9447919229. The cubic root of 5084109936 is about 1719.5110761038.

The spelling of 5084109936 in words is "five billion, eighty-four million, one hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 683 1366 2049 2732 4098 5464 6147 8196 10928 12294 16392 17231 18441 24588 32784 34462 36882 49176 51693 68924 73764 98352 103386 137848 147528 155079 206772 275696 295056 310158 413544 465237 620316 827088 930474 1240632 1860948 2481264 3721896 7443792 11768773 23537546 35306319 47075092 70612638 94150184 105918957 141225276 188300368 211837914 282450552 317756871 423675828 564901104 635513742 847351656 1271027484 1694703312 2542054968 5084109936