Search a number
-
+
48820755312 = 24327177140127
BaseRepresentation
bin101101011101111100…
…011001101101110000
311200000101212100000200
4231131330121231300
51244441103132222
634232234115200
73345552400410
oct553574315560
9150011770020
1048820755312
111978305306a
129565b7bb00
1347b06646c4
142511c84640
15140b0a8eac
hexb5df19b70

48820755312 has 240 divisors, whose sum is σ = 167666982912. Its totient is φ = 12943042560.

The previous prime is 48820755283. The next prime is 48820755317. The reversal of 48820755312 is 21355702884.

48820755312 is a `hidden beast` number, since 4 + 8 + 82 + 0 + 7 + 553 + 12 = 666.

It is a super-2 number, since 2×488207553122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48820755317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196593 + ... + 1236719.

Almost surely, 248820755312 is an apocalyptic number.

48820755312 is a gapful number since it is divisible by the number (42) 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 48820755312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83833491456).

48820755312 is an abundant number, since it is smaller than the sum of its proper divisors (118846227600).

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

48820755312 is a wasteful number, since it uses less digits than its factorization.

48820755312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40236 (or 40227 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 48820755312 in words is "forty-eight billion, eight hundred twenty million, seven hundred fifty-five thousand, three hundred twelve".