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331345621320 = 233572941595623
BaseRepresentation
bin1001101001001011011…
…11001111000101001000
31011200021001020120112220
410310211233033011020
520412043434340240
6412115034334040
732640024211410
oct4644557170510
91150231216486
10331345621320
11118582a6856a
1254272b8a320
1325326c1302c
1412074185640
1589444da5d0
hex4d25bcf148

331345621320 has 512 divisors, whose sum is σ = 1224502272000. Its totient is φ = 70119383040.

The previous prime is 331345621319. The next prime is 331345621333. The reversal of 331345621320 is 23126543133.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 58924029 + ... + 58929651.

It is an arithmetic number, because the mean of its divisors is an integer number (2391606000).

Almost surely, 2331345621320 is an apocalyptic number.

331345621320 is a gapful number since it is divisible by the number (30) 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 331345621320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612251136000).

331345621320 is an abundant number, since it is smaller than the sum of its proper divisors (893156650680).

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

331345621320 is a wasteful number, since it uses less digits than its factorization.

331345621320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 331345621320 in words is "three hundred thirty-one billion, three hundred forty-five million, six hundred twenty-one thousand, three hundred twenty".