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11051645134332 = 223114314177137341
BaseRepresentation
bin1010000011010010100101…
…1000011110010111111100
31110010112020011002022222110
42200310221120132113330
52422032232123244312
635301020010014020
72220312032450145
oct240645130362774
943115204068873
1011051645134332
113580a81620810
1212a5a71717310
1362221cc7033a
142a2c8c588acc
1514272a6b643c
hexa0d2961e5fc

11051645134332 has 96 divisors (see below), whose sum is σ = 28787920406784. Its totient is φ = 3270845491200.

The previous prime is 11051645134331. The next prime is 11051645134351. The reversal of 11051645134332 is 23343154615011.

11051645134332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11051645134331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80399982 + ... + 80537322.

It is an arithmetic number, because the mean of its divisors is an integer number (299874170904).

Almost surely, 211051645134332 is an apocalyptic number.

11051645134332 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 11051645134332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14393960203392).

11051645134332 is an abundant number, since it is smaller than the sum of its proper divisors (17736275272452).

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

11051645134332 is a wasteful number, since it uses less digits than its factorization.

11051645134332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151579 (or 151577 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 11051645134332 its reverse (23343154615011), we get a palindrome (34394799749343).

The spelling of 11051645134332 in words is "eleven trillion, fifty-one billion, six hundred forty-five million, one hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 14177 28354 42531 56708 85062 137341 155947 170124 274682 311894 412023 467841 549364 609611 623788 824046 935682 1219222 1510751 1648092 1828833 1871364 2438444 3021502 3657666 4532253 5905663 6043004 6705721 7315332 9064506 11811326 13411442 17716989 18129012 20117163 23622652 26822884 35433978 40234326 64962293 70867956 80468652 129924586 194886879 259849172 389773758 779547516 1947083357 3894166714 5841250071 7788333428 11682500142 21417916927 23365000284 42835833854 64253750781 83724584351 85671667708 128507501562 167449168702 251173753053 257015003124 334898337404 502347506106 920970427861 1004695012212 1841940855722 2762911283583 3683881711444 5525822567166 11051645134332