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48286680469056 = 26331716103102077
BaseRepresentation
bin10101111101010100111100…
…11011111100111001000000
320022222011100210012011102000
422332222132123330321000
522312112110200002211
6250410332245424000
713112411645614611
oct1276523633747100
9208864323164360
1048286680469056
11144272a2325897
1254ba34770b000
1320c355066cc63
14bcd132d15c08
1558b0a9d23656
hex2bea9e6fce40

48286680469056 has 224 divisors, whose sum is σ = 150314934401280. Its totient is φ = 15147673362432.

The previous prime is 48286680469051. The next prime is 48286680469063. The reversal of 48286680469056 is 65096408668284.

It is a happy number.

48286680469056 is a `hidden beast` number, since 4 + 8 + 2 + 86 + 6 + 80 + 469 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×482866804690562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48286680469051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472990690 + ... + 473092766.

Almost surely, 248286680469056 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 48286680469056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75157467200640).

48286680469056 is an abundant number, since it is smaller than the sum of its proper divisors (102028253932224).

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

48286680469056 is a wasteful number, since it uses less digits than its factorization.

48286680469056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118218 (or 118202 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 48286680469056 in words is "forty-eight trillion, two hundred eighty-six billion, six hundred eighty million, four hundred sixty-nine thousand, fifty-six".