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10745364123 = 3313673831193
BaseRepresentation
bin10100000000111100…
…10011111010011011
31000201212022001111000
422000132103322123
5134001303122443
64534130240043
7530165042124
oct120036237233
930655261430
1010745364123
11461452911a
1220ba726023
131023250b30
1473d14904b
1542d5418d3
hex280793e9b

10745364123 has 64 divisors (see below), whose sum is σ = 17459527680. Its totient is φ = 6491384064.

The previous prime is 10745364121. The next prime is 10745364151. The reversal of 10745364123 is 32146354701.

10745364123 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 5 + 3 + 641 + 2 + 3 = 666.

10745364123 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 10745364123 - 21 = 10745364121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10745364121) 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 63 ways as a sum of consecutive naturals, for example, 9006415 + ... + 9007607.

It is an arithmetic number, because the mean of its divisors is an integer number (272805120).

Almost surely, 210745364123 is an apocalyptic number.

10745364123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10745364123 is a deficient number, since it is larger than the sum of its proper divisors (6714163557).

10745364123 is a wasteful number, since it uses less digits than its factorization.

10745364123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10745364123 in words is "ten billion, seven hundred forty-five million, three hundred sixty-four thousand, one hundred twenty-three".

Divisors: 1 3 9 13 27 39 67 117 201 351 383 603 871 1149 1193 1809 2613 3447 3579 4979 7839 10341 10737 14937 15509 23517 25661 32211 44811 46527 76983 79931 134433 139581 230949 239793 333593 418743 456919 692847 719379 1000779 1039103 1370757 2158137 3002337 3117309 4112271 5939947 9007011 9351927 12336813 17819841 28055781 30613573 53459523 91840719 160378569 275522157 397976449 826566471 1193929347 3581788041 10745364123