Search a number
-
+
11019282816 = 27331925679
BaseRepresentation
bin10100100001100110…
…01110100110000000
31001102221201120021210
422100303032212000
5140031414022231
65021233250120
7540032233653
oct122063164600
931387646253
1011019282816
114745109303
122176403940
131067c194b9
1476768d89a
154475eca46
hex290cce980

11019282816 has 64 divisors (see below), whose sum is σ = 30214195200. Its totient is φ = 3554603520.

The previous prime is 11019282797. The next prime is 11019282823. The reversal of 11019282816 is 61828291011.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 450936 + ... + 474743.

It is an arithmetic number, because the mean of its divisors is an integer number (472096800).

Almost surely, 211019282816 is an apocalyptic number.

11019282816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11019282816 is an abundant number, since it is smaller than the sum of its proper divisors (19194912384).

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

11019282816 is an equidigital number, since it uses as much as digits as its factorization.

11019282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925727 (or 925715 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 39.

The spelling of 11019282816 in words is "eleven billion, nineteen million, two hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 925679 1851358 2777037 3702716 5554074 7405432 11108148 14810864 22216296 28696049 29621728 44432592 57392098 59243456 86088147 88865184 114784196 118486912 172176294 177730368 229568392 344352588 355460736 459136784 688705176 918273568 1377410352 1836547136 2754820704 3673094272 5509641408 11019282816