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248313516108 = 223710328700129
BaseRepresentation
bin1110011101000010100…
…0111001000001001100
3212201221101200121010220
43213100220321001030
513032021230003413
6310023524231340
723640304030050
oct3472050710114
9781841617126
10248313516108
1196344562a09
124015b83b550
131a553865728
14c038847c60
1566d4c35223
hex39d0a3904c

248313516108 has 48 divisors (see below), whose sum is σ = 668598228480. Its totient is φ = 70257913344.

The previous prime is 248313516091. The next prime is 248313516163. The reversal of 248313516108 is 801615313842.

It is a happy number.

It is a super-3 number, since 3×2483135161083 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 248313516108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14341413 + ... + 14358716.

It is an arithmetic number, because the mean of its divisors is an integer number (13929129760).

Almost surely, 2248313516108 is an apocalyptic number.

248313516108 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248313516108 is an abundant number, since it is smaller than the sum of its proper divisors (420284712372).

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

248313516108 is a wasteful number, since it uses less digits than its factorization.

248313516108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28700246 (or 28700244 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 248313516108 in words is "two hundred forty-eight billion, three hundred thirteen million, five hundred sixteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1236 1442 2163 2884 4326 8652 28700129 57400258 86100387 114800516 172200774 200900903 344401548 401801806 602702709 803603612 1205405418 2410810836 2956113287 5912226574 8868339861 11824453148 17736679722 20692793009 35473359444 41385586018 62078379027 82771172036 124156758054 248313516108