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44768000404 = 22120117895209
BaseRepresentation
bin101001101100011000…
…010111100110010100
311021112221220001110001
4221230120113212110
51213141102003104
632322141341044
73143251503421
oct515430274624
9137487801401
1044768000404
1117a93407346
128814867784
1342b5b3198a
14224991ad48
1512703b2aa4
hexa6c617994

44768000404 has 24 divisors (see below), whose sum is σ = 78468122600. Its totient is φ = 22348569600.

The previous prime is 44768000399. The next prime is 44768000441. The reversal of 44768000404 is 40400086744.

It can be written as a sum of positive squares in 4 ways, for example, as 15028308100 + 29739692304 = 122590^2 + 172452^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8591752 + ... + 8596960.

Almost surely, 244768000404 is an apocalyptic number.

It is an amenable number.

44768000404 is a deficient number, since it is larger than the sum of its proper divisors (33700122196).

44768000404 is a wasteful number, since it uses less digits than its factorization.

44768000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 44768000404 in words is "forty-four billion, seven hundred sixty-eight million, four hundred four", and thus it is an aban number.

Divisors: 1 2 4 1201 1789 2402 3578 4804 5209 7156 10418 20836 2148589 4297178 6256009 8594356 9318901 12512018 18637802 25024036 37275604 11192000101 22384000202 44768000404