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329639428413792 = 2532717315310135779
BaseRepresentation
bin100101011110011100010100…
…1000010001101100101100000
31121020011012222112120220222100
41022330320221002031211200
5321201303022133220132
63125030132435010400
7126301443222231060
oct11274705102154540
91536135875526870
10329639428413792
1196040329726022
1230b7a3b5739a00
13111c1b31a2a6a3
145b588c231d3a0
152819a2846c37c
hex12bce2908d960

329639428413792 has 1152 divisors, whose sum is σ = 1194416860815360. Its totient is φ = 84066915778560.

The previous prime is 329639428413727. The next prime is 329639428413797. The reversal of 329639428413792 is 297314824936923.

It is a happy number.

329639428413792 is a `hidden beast` number, since 3 + 2 + 9 + 63 + 9 + 428 + 4 + 137 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 329639428413792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329639428413797) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57040908759 + ... + 57040914537.

It is an arithmetic number, because the mean of its divisors is an integer number (1036820191680).

Almost surely, 2329639428413792 is an apocalyptic number.

329639428413792 is a gapful number since it is divisible by the number (32) 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 329639428413792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597208430407680).

329639428413792 is an abundant number, since it is smaller than the sum of its proper divisors (864777432401568).

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

329639428413792 is a wasteful number, since it uses less digits than its factorization.

329639428413792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916 (or 6905 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 329639428413792 in words is "three hundred twenty-nine trillion, six hundred thirty-nine billion, four hundred twenty-eight million, four hundred thirteen thousand, seven hundred ninety-two".