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475803852000 = 253531923412213
BaseRepresentation
bin1101110110010000001…
…11101001110011100000
31200111010120220001001220
412323020013221303200
530243421241231000
61002325315455040
746242602003661
oct6731007516340
91614116801056
10475803852000
11173872963374
12782698b7480
1335b39315839
1419059929368
15c59b7e91a0
hex6ec81e9ce0

475803852000 has 768 divisors, whose sum is σ = 1754661242880. Its totient is φ = 112121856000.

The previous prime is 475803851993. The next prime is 475803852037. The reversal of 475803852000 is 258308574.

It is a congruent number.

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, 215002894 + ... + 215005106.

It is an arithmetic number, because the mean of its divisors is an integer number (2284715160).

Almost surely, 2475803852000 is an apocalyptic number.

475803852000 is a gapful number since it is divisible by the number (40) 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 475803852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877330621440).

475803852000 is an abundant number, since it is smaller than the sum of its proper divisors (1278857390880).

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

475803852000 is a wasteful number, since it uses less digits than its factorization.

475803852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 475803852000 in words is "four hundred seventy-five billion, eight hundred three million, eight hundred fifty-two thousand".