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44780696064 = 2932131743973
BaseRepresentation
bin101001101101001000…
…110011001000000000
311021120211210001121200
4221231020303020000
51213202324233224
632323313421200
73143464431126
oct515510631000
9137524701550
1044780696064
1117a9a598825
128818b6a800
1342b86584c0
14224b4a3916
15127156e5c9
hexa6d233200

44780696064 has 240 divisors, whose sum is σ = 147372176952. Its totient is φ = 12967870464.

The previous prime is 44780696063. The next prime is 44780696069. The reversal of 44780696064 is 46069608744.

44780696064 is a `hidden beast` number, since 447 + 80 + 6 + 9 + 60 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36331409664 + 8449286400 = 190608^2 + 91920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44780696064.

It is not an unprimeable number, because it can be changed into a prime (44780696063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996382 + ... + 1040354.

Almost surely, 244780696064 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 44780696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73686088476).

44780696064 is an abundant number, since it is smaller than the sum of its proper divisors (102591480888).

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

44780696064 is a wasteful number, since it uses less digits than its factorization.

44780696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44027 (or 44008 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 44780696064 in words is "forty-four billion, seven hundred eighty million, six hundred ninety-six thousand, sixty-four".