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231785066688 = 2637896413023
BaseRepresentation
bin1101011111011101110…
…1110111000011000000
3211011021111111101000120
43113313131313003000
512244143434113223
6254251450220240
722513564362630
oct3276735670300
9734244441016
10231785066688
118a33269a25a
1238b08424680
1318b1b476146
14b30b6366c0
156068b56be3
hex35f77770c0

231785066688 has 224 divisors, whose sum is σ = 710089390080. Its totient is φ = 65356431360.

The previous prime is 231785066671. The next prime is 231785066749. The reversal of 231785066688 is 886660587132.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76672345 + ... + 76675367.

It is an arithmetic number, because the mean of its divisors is an integer number (3170041920).

Almost surely, 2231785066688 is an apocalyptic number.

231785066688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231785066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355044695040).

231785066688 is an abundant number, since it is smaller than the sum of its proper divisors (478304323392).

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

231785066688 is a wasteful number, since it uses less digits than its factorization.

231785066688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 231785066688 in words is "two hundred thirty-one billion, seven hundred eighty-five million, sixty-six thousand, six hundred eighty-eight".