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11134454364 = 22321123896571
BaseRepresentation
bin10100101111010101…
…00100101001011100
31001201222102212221200
422113222210221130
5140300410014424
65040505555500
7542631205035
oct122752445134
931658385850
1011134454364
1147a4122400
1221a8aa5b90
131085a42747
14778aada8c
1545279c8c9
hex297aa4a5c

11134454364 has 108 divisors (see below), whose sum is σ = 31020957240. Its totient is φ = 3364891200.

The previous prime is 11134454339. The next prime is 11134454369. The reversal of 11134454364 is 46345443111.

11134454364 is a `hidden beast` number, since 1 + 1 + 13 + 44 + 543 + 64 = 666.

11134454364 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134454369) 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 35 ways as a sum of consecutive naturals, for example, 1691199 + ... + 1697769.

Almost surely, 211134454364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134454364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15510478620).

11134454364 is an abundant number, since it is smaller than the sum of its proper divisors (19886502876).

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

11134454364 is a wasteful number, since it uses less digits than its factorization.

11134454364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992 (or 6976 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 11134454364 its reverse (46345443111), we get a palindrome (57479897475).

The spelling of 11134454364 in words is "eleven billion, one hundred thirty-four million, four hundred fifty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 389 396 484 726 778 1089 1167 1452 1556 2178 2334 3501 4279 4356 4668 6571 7002 8558 12837 13142 14004 17116 19713 25674 26284 38511 39426 47069 51348 59139 72281 77022 78852 94138 118278 141207 144562 154044 188276 216843 236556 282414 289124 423621 433686 564828 650529 795091 847242 867372 1301058 1590182 1694484 2385273 2556119 2602116 3180364 4770546 5112238 7155819 7668357 9541092 10224476 14311638 15336714 23005071 28117309 28623276 30673428 46010142 56234618 84351927 92020284 112469236 168703854 253055781 309290399 337407708 506111562 618580798 927871197 1012223124 1237161596 1855742394 2783613591 3711484788 5567227182 11134454364