Search a number
-
+
6780286272 = 2633110091129
BaseRepresentation
bin1100101000010001…
…01111010101000000
3122111112022020012210
412110020233111000
5102341223130042
63040445022120
7330010324314
oct62410572500
918445266183
106780286272
11296a327481
121392854940
13840938916
144846c5b44
1529a3b8a9c
hex19422f540

6780286272 has 112 divisors (see below), whose sum is σ = 18552972800. Its totient is φ = 2183086080.

The previous prime is 6780286259. The next prime is 6780286291. The reversal of 6780286272 is 2726820876.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6005004 + ... + 6006132.

Almost surely, 26780286272 is an apocalyptic number.

6780286272 is a gapful number since it is divisible by the number (62) 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 6780286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276486400).

6780286272 is an abundant number, since it is smaller than the sum of its proper divisors (11772686528).

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

6780286272 is a wasteful number, since it uses less digits than its factorization.

6780286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 6780286272 is about 82342.4937198285. The cubic root of 6780286272 is about 1892.7038995222.

The spelling of 6780286272 in words is "six billion, seven hundred eighty million, two hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1009 1129 1488 1984 2018 2258 2976 3027 3387 4036 4516 5952 6054 6774 8072 9032 12108 13548 16144 18064 24216 27096 31279 32288 34999 36128 48432 54192 62558 64576 69998 72256 93837 96864 104997 108384 125116 139996 187674 193728 209994 216768 250232 279992 375348 419988 500464 559984 750696 839976 1000928 1119968 1139161 1501392 1679952 2001856 2239936 2278322 3002784 3359904 3417483 4556644 6005568 6719808 6834966 9113288 13669932 18226576 27339864 35313991 36453152 54679728 70627982 72906304 105941973 109359456 141255964 211883946 218718912 282511928 423767892 565023856 847535784 1130047712 1695071568 2260095424 3390143136 6780286272