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485071930667520 = 293757219293209
BaseRepresentation
bin110111001001010111001110…
…0000111100011001000000000
32100121111102102212110210000000
41232102232130013203020000
51002034404303222330040
64435354545120000000
7204113201431313100
oct15622563407431000
92317442385423000
10485071930667520
1113061693a076459
12464a2234160000
1317a8811889c191
1487ad86cb69200
153b12c7a114130
hex1b92b9c1e3200

485071930667520 has 3840 divisors, whose sum is σ = 2210201484480000. Its totient is φ = 101384524136448.

The previous prime is 485071930667503. The next prime is 485071930667551. The reversal of 485071930667520 is 25766039170584.

485071930667520 is a `hidden beast` number, since 4 + 8 + 5 + 0 + 7 + 19 + 30 + 6 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 151159839676 + ... + 151159842884.

It is an arithmetic number, because the mean of its divisors is an integer number (575573303250).

It is a 1-persistent number, because it is pandigital, but 2⋅485071930667520 = 970143861335040 is not.

Almost surely, 2485071930667520 is an apocalyptic number.

485071930667520 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 485071930667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105100742240000).

485071930667520 is an abundant number, since it is smaller than the sum of its proper divisors (1725129553812480).

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

485071930667520 is an equidigital number, since it uses as much as digits as its factorization.

485071930667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 485071930667520 in words is "four hundred eighty-five trillion, seventy-one billion, nine hundred thirty million, six hundred sixty-seven thousand, five hundred twenty".