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331010368829448 = 233711231797659063
BaseRepresentation
bin100101101000011010101101…
…1011100110111100000001000
31121102000021121201211212211120
41023100311123130313200020
5321341233213410020243
63132000021505555240
7126502465341416640
oct11320653334674010
91542007551755746
10331010368829448
1196519788866500
123116003a945b20
13112911b4046929
145ba4db735b520
152840515314c83
hex12d0d5b737808

331010368829448 has 384 divisors, whose sum is σ = 1074418154127360. Its totient is φ = 83098754956800.

The previous prime is 331010368829383. The next prime is 331010368829453. The reversal of 331010368829448 is 844928863010133.

It is a junction number, because it is equal to n+sod(n) for n = 331010368829391 and 331010368829400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501914365 + ... + 502573427.

It is an arithmetic number, because the mean of its divisors is an integer number (2797963943040).

Almost surely, 2331010368829448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331010368829448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537209077063680).

331010368829448 is an abundant number, since it is smaller than the sum of its proper divisors (743407785297912).

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

331010368829448 is a wasteful number, since it uses less digits than its factorization.

331010368829448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659929 (or 659914 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 331010368829448 in words is "three hundred thirty-one trillion, ten billion, three hundred sixty-eight million, eight hundred twenty-nine thousand, four hundred forty-eight".