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608648472432 = 243571113198231
BaseRepresentation
bin10001101101101100100…
…01101010011101110000
32011012000202110222100000
420312312101222131300
534433003002104212
61143335333030000
761654606440240
oct10666621523560
92135022428300
10608648472432
11215143216980
1299b63185300
134551a63b210
142165cb11b20
1510c7425d1dc
hex8db646a770

608648472432 has 960 divisors, whose sum is σ = 2496880189440. Its totient is φ = 138232396800.

The previous prime is 608648472407. The next prime is 608648472433. The reversal of 608648472432 is 234274846806.

608648472432 is a `hidden beast` number, since 6 + 0 + 8 + 64 + 84 + 72 + 432 = 666.

608648472432 is digitally balanced in base 2, 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 (608648472433) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73941757 + ... + 73949987.

It is an arithmetic number, because the mean of its divisors is an integer number (2600916864).

Almost surely, 2608648472432 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 608648472432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248440094720).

608648472432 is an abundant number, since it is smaller than the sum of its proper divisors (1888231717008).

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

608648472432 is a wasteful number, since it uses less digits than its factorization.

608648472432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 608648472432 in words is "six hundred eight billion, six hundred forty-eight million, four hundred seventy-two thousand, four hundred thirty-two".