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1041909756921 = 3211179448113121
BaseRepresentation
bin11110010100101101010…
…10010011001111111001
310200121100111000122222100
433022112222103033321
5114032312344210141
62114351410014013
7135163331544165
oct17122652231771
93617314018870
101041909756921
11371964993640
12149b19577309
1377336bb9987
14386004dbca5
151c180c370b6
hexf296a933f9

1041909756921 has 48 divisors (see below), whose sum is σ = 1651463536320. Its totient is φ = 627744768000.

The previous prime is 1041909756911. The next prime is 1041909756941. The reversal of 1041909756921 is 1296579091401.

It is a happy number.

1041909756921 is a `hidden beast` number, since 1 + 0 + 419 + 0 + 97 + 56 + 92 + 1 = 666.

It is not a de Polignac number, because 1041909756921 - 215 = 1041909724153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1041909756911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79401241 + ... + 79414361.

It is an arithmetic number, because the mean of its divisors is an integer number (34405490340).

Almost surely, 21041909756921 is an apocalyptic number.

1041909756921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1041909756921 is a deficient number, since it is larger than the sum of its proper divisors (609553779399).

1041909756921 is a wasteful number, since it uses less digits than its factorization.

1041909756921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17798 (or 17795 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 1041909756921 in words is "one trillion, forty-one billion, nine hundred nine million, seven hundred fifty-six thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 33 99 179 537 1611 1969 4481 5907 13121 13443 17721 39363 40329 49291 118089 144331 147873 432993 443619 802099 1298979 2348659 2406297 7045977 7218891 8823089 21137931 25835249 26469267 58795201 77505747 79407801 176385603 232517241 529156809 646747211 1940241633 5820724899 10524340979 31573022937 94719068811 115767750769 347303252307 1041909756921