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5088206112 = 253118395743
BaseRepresentation
bin1001011110100011…
…11101110100100000
3111010121100122121020
410233101331310200
540410040043422
62200521525440
7240043016103
oct45721756440
914117318536
105088206112
112181183620
12ba0043880
13631203162
14363aa273a
151eba7b95c
hex12f47dd20

5088206112 has 96 divisors (see below), whose sum is σ = 14590679040. Its totient is φ = 1539774720.

The previous prime is 5088206059. The next prime is 5088206129. The reversal of 5088206112 is 2116028805.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×50882061123 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 883113 + ... + 888855.

It is an arithmetic number, because the mean of its divisors is an integer number (151986240).

Almost surely, 25088206112 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 5088206112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7295339520).

5088206112 is an abundant number, since it is smaller than the sum of its proper divisors (9502472928).

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

5088206112 is a wasteful number, since it uses less digits than its factorization.

5088206112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 5088206112 is about 71331.6627592544. The cubic root of 5088206112 is about 1719.9727451964.

The spelling of 5088206112 in words is "five billion, eighty-eight million, two hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 839 1056 1678 2517 3356 5034 5743 6712 9229 10068 11486 13424 17229 18458 20136 22972 26848 27687 34458 36916 40272 45944 55374 63173 68916 73832 80544 91888 110748 126346 137832 147664 183776 189519 221496 252692 275664 295328 379038 442992 505384 551328 758076 885984 1010768 1516152 2021536 3032304 4818377 6064608 9636754 14455131 19273508 28910262 38547016 53002147 57820524 77094032 106004294 115641048 154188064 159006441 212008588 231282096 318012882 424017176 462564192 636025764 848034352 1272051528 1696068704 2544103056 5088206112