Search a number
-
+
48422630016 = 2732241174413
BaseRepresentation
bin101101000110001101…
…101011001010000000
311121222122201110210100
4231012031223022000
51243132143130031
634124533002400
73332646364305
oct550615531200
9147878643710
1048422630016
11195993486a2
129474783400
13474902b4c7
1424b504b0ac
1513d6165de6
hexb4636b280

48422630016 has 96 divisors (see below), whose sum is σ = 139920143220. Its totient is φ = 16073809920.

The previous prime is 48422629999. The next prime is 48422630029. The reversal of 48422630016 is 61003622484.

48422630016 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 2 + 630 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41900452416 + 6522177600 = 204696^2 + 80760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190426 + ... + 364838.

Almost surely, 248422630016 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 48422630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69960071610).

48422630016 is an abundant number, since it is smaller than the sum of its proper divisors (91497513204).

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

48422630016 is a wasteful number, since it uses less digits than its factorization.

48422630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174674 (or 174659 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 48422630016 in words is "forty-eight billion, four hundred twenty-two million, six hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 241 288 384 482 576 723 964 1152 1446 1928 2169 2892 3856 4338 5784 7712 8676 11568 15424 17352 23136 30848 34704 46272 69408 92544 138816 174413 277632 348826 523239 697652 1046478 1395304 1569717 2092956 2790608 3139434 4185912 5581216 6278868 8371824 11162432 12557736 16743648 22324864 25115472 33487296 42033533 50230944 66974592 84067066 100461888 126100599 168134132 200923776 252201198 336268264 378301797 504402396 672536528 756603594 1008804792 1345073056 1513207188 2017609584 2690146112 3026414376 4035219168 5380292224 6052828752 8070438336 12105657504 16140876672 24211315008 48422630016