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48090422016 = 2832731331151
BaseRepresentation
bin101100110010011010…
…011001101100000000
311121010111121120002100
4230302122121230000
51241442122001031
634031544350400
73321503562000
oct546232315400
9147114546070
1048090422016
111943887592a
1293a1475400
1346c5264720
142482c92000
1513b6de3de6
hexb32699b00

48090422016 has 864 divisors, whose sum is σ = 180944691200. Its totient is φ = 12192768000.

The previous prime is 48090422011. The next prime is 48090422071. The reversal of 48090422016 is 61022409084.

It is a super-3 number, since 3×480904220163 (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48090422011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318479541 + ... + 318479691.

Almost surely, 248090422016 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 48090422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90472345600).

48090422016 is an abundant number, since it is smaller than the sum of its proper divisors (132854269184).

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

48090422016 is a wasteful number, since it uses less digits than its factorization.

48090422016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 48090422016 in words is "forty-eight billion, ninety million, four hundred twenty-two thousand, sixteen".