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11004202752 = 28386316603
BaseRepresentation
bin10100011111110011…
…01100111100000000
31001101220100102022220
422033321230330000
5140014033442002
65015534131040
7536460115524
oct121771547400
931356312286
1011004202752
114737649444
122171350a80
131064a6959a
14765685d84
1544611e7bc
hex28fe6cf00

11004202752 has 72 divisors (see below), whose sum is σ = 29322929664. Its totient is φ = 3663596544.

The previous prime is 11004202721. The next prime is 11004202753. The reversal of 11004202752 is 25720240011.

11004202752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004202753) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 654483 + ... + 671085.

It is an arithmetic number, because the mean of its divisors is an integer number (407262912).

Almost surely, 211004202752 is an apocalyptic number.

11004202752 is a gapful number since it is divisible by the number (12) 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 11004202752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661464832).

11004202752 is an abundant number, since it is smaller than the sum of its proper divisors (18318726912).

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

11004202752 is an equidigital number, since it uses as much as digits as its factorization.

11004202752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17485 (or 17471 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 11004202752 its reverse (25720240011), we get a palindrome (36724442763).

The spelling of 11004202752 in words is "eleven billion, four million, two hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 863 1726 2589 3452 5178 6904 10356 13808 16603 20712 27616 33206 41424 49809 55232 66412 82848 99618 110464 132824 165696 199236 220928 265648 331392 398472 531296 662784 796944 1062592 1593888 2125184 3187776 4250368 6375552 12751104 14328389 28656778 42985167 57313556 85970334 114627112 171940668 229254224 343881336 458508448 687762672 917016896 1375525344 1834033792 2751050688 3668067584 5502101376 11004202752