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608645640960 = 28325773103393
BaseRepresentation
bin10001101101101100001…
…10110111001100000000
32011012000120011010021200
420312312012313030000
534433001241002320
61143335152221200
761654543405230
oct10666606671400
92135016133250
10608645640960
11215141662615
1299b6223a800
1345519b894a6
142165c5b5cc0
1510c73d9e290
hex8db61b7300

608645640960 has 432 divisors, whose sum is σ = 2439678206784. Its totient is φ = 137211936768.

The previous prime is 608645640947. The next prime is 608645641001. The reversal of 608645640960 is 69046546806.

608645640960 is a `hidden beast` number, since 60 + 8 + 6 + 456 + 40 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 608645640897 and 608645640906.

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, 5835024 + ... + 5938416.

Almost surely, 2608645640960 is an apocalyptic number.

608645640960 is a gapful number since it is divisible by the number (60) 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 608645640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219839103392).

608645640960 is an abundant number, since it is smaller than the sum of its proper divisors (1831032565824).

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

608645640960 is a wasteful number, since it uses less digits than its factorization.

608645640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103500 (or 103483 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 608645640960 in words is "six hundred eight billion, six hundred forty-five million, six hundred forty thousand, nine hundred sixty".