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65042352648 = 233472132172331
BaseRepresentation
bin111100100100110100…
…111000101000001000
320012212220122212020000
4330210310320220020
52031201320241043
645514031203000
74461544606200
oct744464705010
9205786585200
1065042352648
1125647792259
1210732676460
1361972c7400
14321041b400
151a5a2732d3
hexf24d38a08

65042352648 has 1440 divisors, whose sum is σ = 261719631360. Its totient is φ = 14944849920.

The previous prime is 65042352637. The next prime is 65042352667. The reversal of 65042352648 is 84625324056.

65042352648 is a `hidden beast` number, since 65 + 0 + 4 + 23 + 526 + 48 = 666.

It is a super-2 number, since 2×650423526482 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2098140393 + ... + 2098140423.

It is an arithmetic number, because the mean of its divisors is an integer number (181749744).

Almost surely, 265042352648 is an apocalyptic number.

65042352648 is a gapful number since it is divisible by the number (68) 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 65042352648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130859815680).

65042352648 is an abundant number, since it is smaller than the sum of its proper divisors (196677278712).

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

65042352648 is a wasteful number, since it uses less digits than its factorization.

65042352648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 65042352648 in words is "sixty-five billion, forty-two million, three hundred fifty-two thousand, six hundred forty-eight".