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11452303827 = 341719437729
BaseRepresentation
bin10101010101001110…
…00100100111010011
31002120010112022110000
422222213010213103
5141423242210302
65132222341043
7553540655616
oct125247044723
932503468400
1011452303827
114947588408
12227742a783
13110684cb53
147a8dac17d
1547063531c
hex2aa9c49d3

11452303827 has 40 divisors (see below), whose sum is σ = 19067518800. Its totient is φ = 6807545856.

The previous prime is 11452303817. The next prime is 11452303831. The reversal of 11452303827 is 72830325411.

11452303827 is a `hidden beast` number, since 1 + 1 + 45 + 230 + 382 + 7 = 666.

11452303827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11452303827 - 218 = 11452041683 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11452303791 and 11452303800.

It is not an unprimeable number, because it can be changed into a prime (11452303817) 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 39 ways as a sum of consecutive naturals, for example, 192702 + ... + 245027.

It is an arithmetic number, because the mean of its divisors is an integer number (476687970).

Almost surely, 211452303827 is an apocalyptic number.

11452303827 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11452303827 is a deficient number, since it is larger than the sum of its proper divisors (7615214973).

11452303827 is a wasteful number, since it uses less digits than its factorization.

11452303827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437777 (or 437768 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11452303827 in words is "eleven billion, four hundred fifty-two million, three hundred three thousand, eight hundred twenty-seven".

Divisors: 1 3 9 17 19 27 51 57 81 153 171 323 459 513 969 1377 1539 2907 8721 26163 437729 1313187 3939561 7441393 8316851 11818683 22324179 24950553 35456049 66972537 74851659 141386467 200917611 224554977 424159401 602752833 673664931 1272478203 3817434609 11452303827