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484465460976 = 243272318112731
BaseRepresentation
bin1110000110011000110…
…01000100011011110000
31201022111020020100212100
413003030121010123300
530414141124222401
61010321012100400
750000335321200
oct7031431043360
91638436210770
10484465460976
111775081393a2
1279a86604700
13368b9945953
141963c016400
15c906e31b86
hex70cc6446f0

484465460976 has 360 divisors, whose sum is σ = 1630671963648. Its totient is φ = 133739424000.

The previous prime is 484465460917. The next prime is 484465460977. The reversal of 484465460976 is 679064564484.

It is a happy number.

484465460976 is a `hidden beast` number, since 4 + 8 + 44 + 65 + 460 + 9 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484465460977) 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 71 ways as a sum of consecutive naturals, for example, 177393531 + ... + 177396261.

Almost surely, 2484465460976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484465460976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815335981824).

484465460976 is an abundant number, since it is smaller than the sum of its proper divisors (1146206502672).

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

484465460976 is a wasteful number, since it uses less digits than its factorization.

484465460976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 484465460976 in words is "four hundred eighty-four billion, four hundred sixty-five million, four hundred sixty thousand, nine hundred seventy-six".