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1021382828928 = 273371183131353
BaseRepresentation
bin11101101110011110010…
…10010010001110000000
310121122100220222200102000
432313033022102032000
5113213243001011203
62101114454424000
7133535550541110
oct16671712221600
93548326880360
101021382828928
11364190a85840
12145b4b062000
13754152bc337
1437614251040
151b87dad44a3
hexedcf292380

1021382828928 has 1024 divisors, whose sum is σ = 3843508838400. Its totient is φ = 259360358400.

The previous prime is 1021382828923. The next prime is 1021382828941. The reversal of 1021382828928 is 8298282831201.

1021382828928 is a `hidden beast` number, since 102 + 1 + 382 + 82 + 89 + 2 + 8 = 666.

It is a super-2 number, since 2×10213828289282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021382828923) 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 127 ways as a sum of consecutive naturals, for example, 2893435600 + ... + 2893435952.

It is an arithmetic number, because the mean of its divisors is an integer number (3753426600).

Almost surely, 21021382828928 is an apocalyptic number.

1021382828928 is a gapful number since it is divisible by the number (18) 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 1021382828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921754419200).

1021382828928 is an abundant number, since it is smaller than the sum of its proper divisors (2822126009472).

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

1021382828928 is a wasteful number, since it uses less digits than its factorization.

1021382828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 1021382828928 in words is "one trillion, twenty-one billion, three hundred eighty-two million, eight hundred twenty-eight thousand, nine hundred twenty-eight".