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803978398512 = 2432234119330677
BaseRepresentation
bin10111011001100001101…
…10001100101100110000
32211212012122012022202200
423230300312030230300
5101133021432223022
61413201555143200
7112041222426342
oct13546066145460
92755178168680
10803978398512
1128aa68934453
1210b9968a4b00
135aa79276a33
142acac895292
1515da76ebbac
hexbb30d8cb30

803978398512 has 240 divisors, whose sum is σ = 2417655135168. Its totient is φ = 248784814080.

The previous prime is 803978398417. The next prime is 803978398549. The reversal of 803978398512 is 215893879308.

803978398512 is a `hidden beast` number, since 8 + 0 + 39 + 7 + 83 + 9 + 8 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 803978398512.

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 47 ways as a sum of consecutive naturals, for example, 26192518 + ... + 26223194.

Almost surely, 2803978398512 is an apocalyptic number.

803978398512 is a gapful number since it is divisible by the number (82) 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 803978398512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208827567584).

803978398512 is an abundant number, since it is smaller than the sum of its proper divisors (1613676736656).

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

803978398512 is a wasteful number, since it uses less digits than its factorization.

803978398512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30948 (or 30939 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 803978398512 in words is "eight hundred three billion, nine hundred seventy-eight million, three hundred ninety-eight thousand, five hundred twelve".