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231247318337664 = 2731924735492813
BaseRepresentation
bin110100100101000101110110…
…010000111100100010000000
31010022210000202012211112111120
4310211011312100330202000
5220302224001443301124
62135453315041312240
766465032056653216
oct6445056620744200
91108700665745446
10231247318337664
1167756489661982
1221b29343035680
139c056b42bc9a5
144116603a0acb6
151bb0417c86d79
hexd2517643c880

231247318337664 has 192 divisors, whose sum is σ = 662074434080640. Its totient is φ = 71471733553152.

The previous prime is 231247318337653. The next prime is 231247318337669. The reversal of 231247318337664 is 466733813742132.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 231247318337598 and 231247318337607.

It is not an unprimeable number, because it can be changed into a prime (231247318337669) 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 23 ways as a sum of consecutive naturals, for example, 11231079 + ... + 24261734.

It is an arithmetic number, because the mean of its divisors is an integer number (3448304344170).

Almost surely, 2231247318337664 is an apocalyptic number.

231247318337664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231247318337664 is an abundant number, since it is smaller than the sum of its proper divisors (430827115742976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231247318337664 is a wasteful number, since it uses less digits than its factorization.

231247318337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35492915 (or 35492884 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 60.

The spelling of 231247318337664 in words is "two hundred thirty-one trillion, two hundred forty-seven billion, three hundred eighteen million, three hundred thirty-seven thousand, six hundred sixty-four".