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534490192782 = 2337213192331237
BaseRepresentation
bin1111100011100100001…
…10010001101110001110
31220002121112121001011000
413301302012101232032
532224113442132112
61045312535441130
753421110451300
oct7616206215616
91802545531130
10534490192782
11196748863857
12877078261a6
133b52c864780
141bc25b43970
15dd83a5e7dc
hex7c72191b8e

534490192782 has 1152 divisors, whose sum is σ = 1734435763200. Its totient is φ = 120277301760.

The previous prime is 534490192777. The next prime is 534490192783. The reversal of 534490192782 is 287291094435.

534490192782 is a `hidden beast` number, since 5 + 3 + 449 + 0 + 192 + 7 + 8 + 2 = 666.

534490192782 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534490192783) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14445680868 + ... + 14445680904.

It is an arithmetic number, because the mean of its divisors is an integer number (1505586600).

Almost surely, 2534490192782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534490192782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867217881600).

534490192782 is an abundant number, since it is smaller than the sum of its proper divisors (1199945570418).

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

534490192782 is a wasteful number, since it uses less digits than its factorization.

534490192782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 534490192782 in words is "five hundred thirty-four billion, four hundred ninety million, one hundred ninety-two thousand, seven hundred eighty-two".