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5996600064 = 283271337773
BaseRepresentation
bin1011001010110110…
…01101101100000000
3120110220122211211200
411211123031230000
544240112200224
62431011541200
7301413155010
oct54533155400
916426584750
105996600064
1125a7a19424
1211b42ba800
13747478380
1440c5a5c40
152516b55c9
hex1656cdb00

5996600064 has 432 divisors, whose sum is σ = 21882998592. Its totient is φ = 1536786432.

The previous prime is 5996600053. The next prime is 5996600153. The reversal of 5996600064 is 4600066995.

It is a junction number, because it is equal to n+sod(n) for n = 5996599992 and 5996600019.

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, 7757182 + ... + 7757954.

Almost surely, 25996600064 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 5996600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10941499296).

5996600064 is an abundant number, since it is smaller than the sum of its proper divisors (15886398528).

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

5996600064 is a wasteful number, since it uses less digits than its factorization.

5996600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5996600064 is about 77437.7173217290. The cubic root of 5996600064 is about 1816.7773005522. Note that the first 3 decimals are identical.

The spelling of 5996600064 in words is "five billion, nine hundred ninety-six million, six hundred thousand, sixty-four".