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484129887696 = 24327131723611549
BaseRepresentation
bin1110000101110000110…
…00111101010111010000
31201021121211210110212100
413002320120331113100
530412444222401241
61010223423400400
746656122101350
oct7027030752720
91637554713770
10484129887696
11177355778204
12799b2153100
1336865271190
1419609622b60
15c8d77479b6
hex70b863d5d0

484129887696 has 960 divisors, whose sum is σ = 1873830067200. Its totient is φ = 112989634560.

The previous prime is 484129887691. The next prime is 484129887701. The reversal of 484129887696 is 696788921484.

484129887696 is a `hidden beast` number, since 48 + 412 + 9 + 8 + 87 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (484129887691) and next prime (484129887701).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484129887691) 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, 312542730 + ... + 312544278.

It is an arithmetic number, because the mean of its divisors is an integer number (1951906320).

Almost surely, 2484129887696 is an apocalyptic number.

484129887696 is a gapful number since it is divisible by the number (46) 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 484129887696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936915033600).

484129887696 is an abundant number, since it is smaller than the sum of its proper divisors (1389700179504).

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

484129887696 is a wasteful number, since it uses less digits than its factorization.

484129887696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1675 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 484129887696 in words is "four hundred eighty-four billion, one hundred twenty-nine million, eight hundred eighty-seven thousand, six hundred ninety-six".