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484291382040 = 233254344969677
BaseRepresentation
bin1110000110000100000…
…01000000101100011000
31201022001002200020110100
413003002001000230120
530413312043211130
61010251433015400
746663122553344
oct7030201005430
91638032606410
10484291382040
11177428950304
1279a38254560
133688c865b6b
1419622c60624
15c8e69e7c60
hex70c2040b18

484291382040 has 192 divisors, whose sum is σ = 1614160548000. Its totient is φ = 125858267136.

The previous prime is 484291382017. The next prime is 484291382087. The reversal of 484291382040 is 40283192484.

484291382040 is a `hidden beast` number, since 4 + 8 + 429 + 13 + 8 + 204 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6915682 + ... + 6985358.

Almost surely, 2484291382040 is an apocalyptic number.

484291382040 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 484291382040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807080274000).

484291382040 is an abundant number, since it is smaller than the sum of its proper divisors (1129869165960).

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

484291382040 is a wasteful number, since it uses less digits than its factorization.

484291382040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70186 (or 70179 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 484291382040 in words is "four hundred eighty-four billion, two hundred ninety-one million, three hundred eighty-two thousand, forty".