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104863509821 = 724152196869
BaseRepresentation
bin110000110101001011…
…0100010110100111101
3101000200010012020111002
41201222112202310331
53204230024303241
6120101300540045
710401421061300
oct1415226426475
9330603166432
10104863509821
1140521799004
12183a66b1625
139b722bc6c5
14510ad52b37
152adb1ce89b
hex186a5a2d3d

104863509821 has 12 divisors (see below), whose sum is σ = 124959306780. Its totient is φ = 87690738240.

The previous prime is 104863509809. The next prime is 104863509833. The reversal of 104863509821 is 128905368401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104863509809) and next prime (104863509833).

It can be written as a sum of positive squares in 2 ways, for example, as 10881410596 + 93982099225 = 104314^2 + 306565^2 .

It is not a de Polignac number, because 104863509821 - 234 = 87683640637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104863503821) 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 11 ways as a sum of consecutive naturals, for example, 26096426 + ... + 26100443.

It is an arithmetic number, because the mean of its divisors is an integer number (10413275565).

Almost surely, 2104863509821 is an apocalyptic number.

It is an amenable number.

104863509821 is a deficient number, since it is larger than the sum of its proper divisors (20095796959).

104863509821 is an equidigital number, since it uses as much as digits as its factorization.

104863509821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52196924 (or 52196917 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 104863509821 in words is "one hundred four billion, eight hundred sixty-three million, five hundred nine thousand, eight hundred twenty-one".

Divisors: 1 7 41 49 287 2009 52196869 365378083 2140071629 2557646581 14980501403 104863509821