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10382028305000 = 2354112322433659
BaseRepresentation
bin1001011100010100000100…
…0110111111001001101000
31100202111211101212220221212
42113011001012333021220
52330044343221230000
634025234333252252
72121035224352132
oct227050106771150
940674741786855
1010382028305000
113342aa2356a20
1211b8134334088
135a40373968c1
1427c6c8552052
151300d8bc4c35
hex971411bf268

10382028305000 has 320 divisors, whose sum is σ = 27710139916800. Its totient is φ = 3608543840000.

The previous prime is 10382028304937. The next prime is 10382028305017. The reversal of 10382028305000 is 50382028301.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2837393171 + ... + 2837396829.

It is an arithmetic number, because the mean of its divisors is an integer number (86594187240).

Almost surely, 210382028305000 is an apocalyptic number.

10382028305000 is a gapful number since it is divisible by the number (10) 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 10382028305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13855069958400).

10382028305000 is an abundant number, since it is smaller than the sum of its proper divisors (17328111611800).

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

10382028305000 is a wasteful number, since it uses less digits than its factorization.

10382028305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 10382028305000 in words is "ten trillion, three hundred eighty-two billion, twenty-eight million, three hundred five thousand".