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48422193696 = 2532168132617
BaseRepresentation
bin101101000110001100…
…000000101000100000
311121222121220022021100
4231012030000220200
51243132040144241
634124515354400
73332642566242
oct550614005040
9147877808240
1048422193696
111959907a8a8
1294745b2a00
134748c07a26
1424b4d76092
1513d60cb9b6
hexb46300a20

48422193696 has 36 divisors (see below), whose sum is σ = 137700614142. Its totient is φ = 16140731136.

The previous prime is 48422193689. The next prime is 48422193697. The reversal of 48422193696 is 69639122484.

48422193696 is a `hidden beast` number, since 48 + 422 + 1 + 93 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40328672400 + 8093521296 = 200820^2 + 89964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48422193697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84066021 + ... + 84066596.

Almost surely, 248422193696 is an apocalyptic number.

It is an amenable number.

48422193696 is an abundant number, since it is smaller than the sum of its proper divisors (89278420446).

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

48422193696 is a wasteful number, since it uses less digits than its factorization.

48422193696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168132633 (or 168132622 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 48422193696 in words is "forty-eight billion, four hundred twenty-two million, one hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 168132617 336265234 504397851 672530468 1008795702 1345060936 1513193553 2017591404 2690121872 3026387106 4035182808 5380243744 6052774212 8070365616 12105548424 16140731232 24211096848 48422193696