Search a number
-
+
48306687984 = 2434477191103
BaseRepresentation
bin101100111111010011…
…011000111111110000
311121200120120000020000
4230333103120333300
51242413003003414
634105231550000
73330041034012
oct547723307760
9147616500200
1048306687984
1119539958735
12944198b300
13472acc5659
1424a38aa1b2
1513cadb2b09
hexb3f4d8ff0

48306687984 has 200 divisors, whose sum is σ = 143116554240. Its totient is φ = 15723441792.

The previous prime is 48306687973. The next prime is 48306688019. The reversal of 48306687984 is 48978660384.

48306687984 is a `hidden beast` number, since 483 + 0 + 6 + 6 + 8 + 79 + 84 = 666.

It is a super-2 number, since 2×483066879842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43795177 + ... + 43796279.

Almost surely, 248306687984 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 48306687984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71558277120).

48306687984 is an abundant number, since it is smaller than the sum of its proper divisors (94809866256).

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

48306687984 is a wasteful number, since it uses less digits than its factorization.

48306687984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 48306687984 in words is "forty-eight billion, three hundred six million, six hundred eighty-seven thousand, nine hundred eighty-four".