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461224417681 = 4123947068519
BaseRepresentation
bin1101011011000110001…
…11100001100110010001
31122002111112010001001001
412231203013201212101
530024041422331211
6551514503542001
745215366602366
oct6554307414621
91562445101031
10461224417681
111686711835a5
127547b15a901
133465495bb21
141847550046d
15bee68abac1
hex6b631e1991

461224417681 has 8 divisors (see below), whose sum is σ = 474450681600. Its totient is φ = 448092291360.

The previous prime is 461224417663. The next prime is 461224417729. The reversal of 461224417681 is 186714422164.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-461224417681 is a prime.

It is a super-2 number, since 2×4612244176812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461224417481) 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 7 ways as a sum of consecutive naturals, for example, 23524461 + ... + 23544058.

It is an arithmetic number, because the mean of its divisors is an integer number (59306335200).

Almost surely, 2461224417681 is an apocalyptic number.

461224417681 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

461224417681 is a deficient number, since it is larger than the sum of its proper divisors (13226263919).

461224417681 is a wasteful number, since it uses less digits than its factorization.

461224417681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47068799.

The product of its digits is 516096, while the sum is 46.

The spelling of 461224417681 in words is "four hundred sixty-one billion, two hundred twenty-four million, four hundred seventeen thousand, six hundred eighty-one".

Divisors: 1 41 239 9799 47068519 1929809279 11249376041 461224417681