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48200392656 = 2434132312229
BaseRepresentation
bin101100111000111101…
…111001111111010000
311121102011112122110000
4230320331321333100
51242203300031111
634050513410000
73324310402053
oct547075717720
9147364478400
1048200392656
1119494957459
129412269900
134711c89600
14249371aa9a
1513c18b7c56
hexb38f79fd0

48200392656 has 450 divisors, whose sum is σ = 156774432870. Its totient is φ = 14289799680.

The previous prime is 48200392651. The next prime is 48200392661. The reversal of 48200392656 is 65629300284.

48200392656 is a `hidden beast` number, since 4 + 8 + 200 + 392 + 6 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (48200392651) and next prime (48200392661).

It can be written as a sum of positive squares in 3 ways, for example, as 3239431056 + 44960961600 = 56916^2 + 212040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48200392651) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 210481950 + ... + 210482178.

Almost surely, 248200392656 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 48200392656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78387216435).

48200392656 is an abundant number, since it is smaller than the sum of its proper divisors (108574040214).

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

48200392656 is a wasteful number, since it uses less digits than its factorization.

48200392656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 48200392656 in words is "forty-eight billion, two hundred million, three hundred ninety-two thousand, six hundred fifty-six".