Search a number
-
+
12011133102976 = 27767200078843
BaseRepresentation
bin1010111011001000111101…
…0100100110101110000000
31120112020211111222022222201
42232302033110212232000
53033242300033243401
641313501031042544
72346530034561460
oct256621724465600
946466744868881
1012011133102976
113910990563957
12141ba08210454
1369185007b197
142d74b0419ba0
1515c685502b01
hexaec8f526b80

12011133102976 has 64 divisors (see below), whose sum is σ = 27754937239680. Its totient is φ = 5070798171648.

The previous prime is 12011133102923. The next prime is 12011133102977. The reversal of 12011133102976 is 67920133111021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011133102977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99979390 + ... + 100099453.

It is an arithmetic number, because the mean of its divisors is an integer number (433670894370).

Almost surely, 212011133102976 is an apocalyptic number.

12011133102976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12011133102976 is an abundant number, since it is smaller than the sum of its proper divisors (15743804136704).

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

12011133102976 is an equidigital number, since it uses as much as digits as its factorization.

12011133102976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200078931 (or 200078919 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

Adding to 12011133102976 its reverse (67920133111021), we get a palindrome (79931266213997).

The spelling of 12011133102976 in words is "twelve trillion, eleven billion, one hundred thirty-three million, one hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 268 448 469 536 896 938 1072 1876 2144 3752 4288 7504 8576 15008 30016 60032 200078843 400157686 800315372 1400551901 1600630744 2801103802 3201261488 5602207604 6402522976 11204415208 12805045952 13405282481 22408830416 25610091904 26810564962 44817660832 53621129924 89635321664 93836977367 107242259848 179270643328 187673954734 214484519696 375347909468 428969039392 750695818936 857938078784 1501391637872 1715876157568 3002783275744 6005566551488 12011133102976