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65938489344 = 2153572132
BaseRepresentation
bin111101011010001111…
…011000000000000000
320022012100220022200000
4331122033120000000
52040020223124334
650143002400000
74523005624500
oct753217300000
9208170808600
1065938489344
1125a67615aa2
1210942800000
1362aab6a500
14329744da00
151aadc8a299
hexf5a3d8000

65938489344 has 864 divisors, whose sum is σ = 248828792940. Its totient is φ = 17390370816.

The previous prime is 65938489291. The next prime is 65938489349. The reversal of 65938489344 is 44398483956.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

65938489344 is a `hidden beast` number, since 6 + 593 + 8 + 4 + 8 + 9 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65938489349) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5072191482 + ... + 5072191494.

Almost surely, 265938489344 is an apocalyptic number.

65938489344 is a gapful number since it is divisible by the number (64) 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 65938489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124414396470).

65938489344 is an abundant number, since it is smaller than the sum of its proper divisors (182890303596).

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

65938489344 is an frugal number, since it uses more digits than its factorization.

65938489344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 25 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 65938489344 in words is "sixty-five billion, nine hundred thirty-eight million, four hundred eighty-nine thousand, three hundred forty-four".