Search a number
-
+
48221042688 = 211337213372
BaseRepresentation
bin101100111010001100…
…101011100000000000
311121110121101202222000
4230322030223200000
51242224041331223
634052532144000
73324651046200
oct547214534000
9147417352860
1048221042688
11194a55810a5
129419168000
134716339870
142496374400
1513c35e6543
hexb3a32b800

48221042688 has 864 divisors, whose sum is σ = 183912346800. Its totient is φ = 12373917696.

The previous prime is 48221042687. The next prime is 48221042699. The reversal of 48221042688 is 88624012284.

48221042688 is a `hidden beast` number, since 4 + 8 + 2 + 210 + 426 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48221042687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1303271406 + ... + 1303271442.

Almost surely, 248221042688 is an apocalyptic number.

48221042688 is a gapful number since it is divisible by the number (48) 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 48221042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91956173400).

48221042688 is an abundant number, since it is smaller than the sum of its proper divisors (135691304112).

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

48221042688 is a wasteful number, since it uses less digits than its factorization.

48221042688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 48221042688 in words is "forty-eight billion, two hundred twenty-one million, forty-two thousand, six hundred eighty-eight".