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5082016856 = 237178576229
BaseRepresentation
bin1001011101110100…
…10110110001011000
3111010011201012112112
410232322112301120
540401444014411
62200141131452
7236636300450
oct45672266130
914104635475
105082016856
112178736534
12b99b59b88
1362cb46c87
14362d30d60
151eb257b8b
hex12ee96c58

5082016856 has 64 divisors (see below), whose sum is σ = 11545934400. Its totient is φ = 2047168512.

The previous prime is 5082016847. The next prime is 5082016937. The reversal of 5082016856 is 6586102805.

It is a super-3 number, since 3×50820168563 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812750 + ... + 818978.

It is an arithmetic number, because the mean of its divisors is an integer number (180405225).

Almost surely, 25082016856 is an apocalyptic number.

5082016856 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 5082016856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772967200).

5082016856 is an abundant number, since it is smaller than the sum of its proper divisors (6463917544).

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

5082016856 is a wasteful number, since it uses less digits than its factorization.

5082016856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 5082016856 is about 71288.2659068097. The cubic root of 5082016856 is about 1719.2750748959.

It can be divided in two parts, 50820 and 16856, that added together give a palindrome (67676).

The spelling of 5082016856 in words is "five billion, eighty-two million, sixteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 857 952 1714 3428 5999 6229 6856 11998 12458 14569 23996 24916 29138 43603 47992 49832 58276 87206 101983 105893 116552 174412 203966 211786 348824 407932 423572 741251 815864 847144 1482502 2965004 5338253 5930008 10676506 21353012 37367771 42706024 74735542 90750301 149471084 181500602 298942168 363001204 635252107 726002408 1270504214 2541008428 5082016856