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73781066133 = 3319179803479
BaseRepresentation
bin100010010110110110…
…0011011100110010101
321001102221002111112000
41010231230123212111
52202100423104013
653521120145513
75221235500035
oct1045554334625
9231387074460
1073781066133
1129321541015
1212371168299
136c5a8b29a8
1437dcc598c5
151dbc53b973
hex112db1b995

73781066133 has 32 divisors (see below), whose sum is σ = 115701120000. Its totient is φ = 46338183216.

The previous prime is 73781066069. The next prime is 73781066137. The reversal of 73781066133 is 33166018737.

It is a happy number.

It is not a de Polignac number, because 73781066133 - 26 = 73781066069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73781066137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309913 + ... + 493566.

It is an arithmetic number, because the mean of its divisors is an integer number (3615660000).

Almost surely, 273781066133 is an apocalyptic number.

It is an amenable number.

73781066133 is a deficient number, since it is larger than the sum of its proper divisors (41920053867).

73781066133 is a wasteful number, since it uses less digits than its factorization.

73781066133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803686 (or 803680 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 73781066133 in words is "seventy-three billion, seven hundred eighty-one million, sixty-six thousand, one hundred thirty-three".

Divisors: 1 3 9 19 27 57 171 179 513 537 1611 3401 4833 10203 30609 91827 803479 2410437 7231311 15266101 21693933 45798303 137394909 143822741 412184727 431468223 1294404669 2732632079 3883214007 8197896237 24593688711 73781066133