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104724427401 = 32111057822499
BaseRepresentation
bin110000110001000001…
…1111111001010001001
3101000022102111010021100
41201202003333022021
53203433423134101
6120035411532013
710365111642216
oct1414203771211
9330272433240
10104724427401
1140460233360
1218367bba009
139b4c543c09
1450d66aab0d
152acdda9e86
hex18620ff289

104724427401 has 12 divisors (see below), whose sum is σ = 165020310000. Its totient is φ = 63469349880.

The previous prime is 104724427369. The next prime is 104724427439.

104724427401 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 244 + 2 + 7 + 401 = 666.

104724427401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104724427401 - 25 = 104724427369 is a prime.

It is a super-2 number, since 2×1047244274012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104724427441) 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 11 ways as a sum of consecutive naturals, for example, 528911151 + ... + 528911348.

It is an arithmetic number, because the mean of its divisors is an integer number (13751692500).

Almost surely, 2104724427401 is an apocalyptic number.

104724427401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104724427401 is a deficient number, since it is larger than the sum of its proper divisors (60295882599).

104724427401 is a wasteful number, since it uses less digits than its factorization.

104724427401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057822516 (or 1057822513 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 104724427401 in words is "one hundred four billion, seven hundred twenty-four million, four hundred twenty-seven thousand, four hundred one".

Divisors: 1 3 9 11 33 99 1057822499 3173467497 9520402491 11636047489 34908142467 104724427401