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46312729209 = 36611041461
BaseRepresentation
bin101011001000011101…
…000010101001111001
311102112121120102000000
4223020131002221321
51224322024313314
633135322303213
73226446463065
oct531035025171
9142477512000
1046312729209
1118706367a1a
128b86057b09
1344a0b84ca6
142354b44aa5
151310ce5209
hexac8742a79

46312729209 has 28 divisors (see below), whose sum is σ = 70575713892. Its totient is φ = 30368973600.

The previous prime is 46312729181. The next prime is 46312729219. The reversal of 46312729209 is 90292721364.

46312729209 is a `hidden beast` number, since 4 + 631 + 2 + 7 + 2 + 9 + 2 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22536014400 + 23776714809 = 150120^2 + 154197^2 .

It is not a de Polignac number, because 46312729209 - 29 = 46312728697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46312729219) 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 27 ways as a sum of consecutive naturals, for example, 476262 + ... + 565199.

Almost surely, 246312729209 is an apocalyptic number.

It is an amenable number.

46312729209 is a deficient number, since it is larger than the sum of its proper divisors (24262984683).

46312729209 is an equidigital number, since it uses as much as digits as its factorization.

46312729209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041540 (or 1041525 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 46312729209 in words is "forty-six billion, three hundred twelve million, seven hundred twenty-nine thousand, two hundred nine".

Divisors: 1 3 9 27 61 81 183 243 549 729 1647 4941 14823 44469 1041461 3124383 9373149 28119447 63529121 84358341 190587363 253075023 571762089 759225069 1715286267 5145858801 15437576403 46312729209