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487283788873728 = 21833731171257
BaseRepresentation
bin110111011001011101001100…
…1001001000000000000000000
32100220022212122001220121022000
41232302322121021000000000
51002332124144422424403
64444211025433344000
7204432043355001000
oct15662723111000000
92326285561817260
10487283788873728
111312999923a2260
124679aa42b68000
1317bb88830cc582
148848938568000
153b505826287a3
hex1bb2e99240000

487283788873728 has 2432 divisors, whose sum is σ = 1869917819904000. Its totient is φ = 124299037900800.

The previous prime is 487283788873727. The next prime is 487283788873793. The reversal of 487283788873728 is 827378887382784.

It is a happy number.

487283788873728 is a `hidden beast` number, since 4 + 8 + 7 + 2 + 83 + 7 + 88 + 87 + 372 + 8 = 666.

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (487283788873723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1896045870976 + ... + 1896045871232.

Almost surely, 2487283788873728 is an apocalyptic number.

487283788873728 is a gapful number since it is divisible by the number (48) 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 487283788873728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934958909952000).

487283788873728 is an abundant number, since it is smaller than the sum of its proper divisors (1382634031030272).

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

487283788873728 is an frugal number, since it uses more digits than its factorization.

487283788873728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 351 counting only the distinct ones).

The product of its digits is 90634715136, while the sum is 90.

The spelling of 487283788873728 in words is "four hundred eighty-seven trillion, two hundred eighty-three billion, seven hundred eighty-eight million, eight hundred seventy-three thousand, seven hundred twenty-eight".