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485212581089280 = 21235511101127691
BaseRepresentation
bin110111001010011000101101…
…1100010010101000000000000
32100121222212111001001111200000
41232110301123202111000000
51002044210331224324110
64435543325454400000
7204126311041213542
oct15624613342250000
92317885431044600
10485212581089280
11130670555617040
1246505547800000
1317a98472132105
1487b65b2907692
153b1675ceb31c0
hex1b94c5b895000

485212581089280 has 2496 divisors, whose sum is σ = 1939487754387456. Its totient is φ = 115378421760000.

The previous prime is 485212581089279. The next prime is 485212581089287. The reversal of 485212581089280 is 82980185212584.

485212581089280 is a `hidden beast` number, since 4 + 8 + 5 + 21 + 2 + 581 + 0 + 8 + 9 + 28 + 0 = 666.

It is a super-2 number, since 2×4852125810892802 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485212581089287) 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 191 ways as a sum of consecutive naturals, for example, 702188973735 + ... + 702188974425.

It is an arithmetic number, because the mean of its divisors is an integer number (777038363136).

Almost surely, 2485212581089280 is an apocalyptic number.

485212581089280 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 485212581089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969743877193728).

485212581089280 is an abundant number, since it is smaller than the sum of its proper divisors (1454275173298176).

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

485212581089280 is a wasteful number, since it uses less digits than its factorization.

485212581089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 485212581089280 in words is "four hundred eighty-five trillion, two hundred twelve billion, five hundred eighty-one million, eighty-nine thousand, two hundred eighty".