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484196014080 = 211325411271009
BaseRepresentation
bin1110000101111000101…
…01001101100000000000
31201021210110020001012200
413002330111031200000
530413113134422310
61010234144553200
746660554132552
oct7027425154000
91637713201180
10484196014080
1117738a032a09
1279a10322800
1336875b8480c
14196143174d2
15c8dd45a9c0
hex70bc54d800

484196014080 has 576 divisors, whose sum is σ = 1734319641600. Its totient is φ = 124853944320.

The previous prime is 484196014069. The next prime is 484196014087. The reversal of 484196014080 is 80410691484.

484196014080 is a `hidden beast` number, since 484 + 1 + 96 + 0 + 1 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484196014087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479876616 + ... + 479877624.

It is an arithmetic number, because the mean of its divisors is an integer number (3010971600).

Almost surely, 2484196014080 is an apocalyptic number.

484196014080 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 484196014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867159820800).

484196014080 is an abundant number, since it is smaller than the sum of its proper divisors (1250123627520).

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

484196014080 is a wasteful number, since it uses less digits than its factorization.

484196014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 484196014080 in words is "four hundred eighty-four billion, one hundred ninety-six million, fourteen thousand, eighty".