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12820478589447 = 347160156792867
BaseRepresentation
bin1011101010010000000000…
…0100100111101000000111
31200101121220012021222022220
42322210000010213220013
53140022320004330242
643133351353423423
72462151260652654
oct272440004475007
950347805258286
1012820478589447
1140a3152a30991
12153084040ab73
1371cc732407b9
1432472ba0ac2b
15173753eb7bec
hexba900127a07

12820478589447 has 16 divisors (see below), whose sum is σ = 17468577510912. Its totient is φ = 8359909875200.

The previous prime is 12820478589431. The next prime is 12820478589533. The reversal of 12820478589447 is 74498587402821.

It is a cyclic number.

It is not a de Polignac number, because 12820478589447 - 24 = 12820478589431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820478589427) 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 15 ways as a sum of consecutive naturals, for example, 28170693 + ... + 28622174.

It is an arithmetic number, because the mean of its divisors is an integer number (1091786094432).

Almost surely, 212820478589447 is an apocalyptic number.

12820478589447 is a deficient number, since it is larger than the sum of its proper divisors (4648098921465).

12820478589447 is a wasteful number, since it uses less digits than its factorization.

12820478589447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56794518.

The product of its (nonzero) digits is 289013760, while the sum is 69.

The spelling of 12820478589447 in words is "twelve trillion, eight hundred twenty billion, four hundred seventy-eight million, five hundred eighty-nine thousand, four hundred forty-seven".

Divisors: 1 3 47 141 1601 4803 75247 225741 56792867 170378601 2669264749 8007794247 90925380067 272776140201 4273492863149 12820478589447