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44778037968 = 24322313519939
BaseRepresentation
bin101001101100111110…
…101010001011010000
311021120122210000101200
4221230332222023100
51213201134203333
632323140431200
73143433020436
oct515476521320
9137518700350
1044778037968
1117a99042754
1288180a8500
1342b7c37671
14224adb0d56
1512711e6c13
hexa6cfaa2d0

44778037968 has 60 divisors (see below), whose sum is σ = 130764859680. Its totient is φ = 14277054528.

The previous prime is 44778037963. The next prime is 44778038021. The reversal of 44778037968 is 86973087744.

44778037968 is a `hidden beast` number, since 447 + 78 + 0 + 37 + 96 + 8 = 666.

44778037968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44778037963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6756658 + ... + 6763281.

It is an arithmetic number, because the mean of its divisors is an integer number (2179414328).

Almost surely, 244778037968 is an apocalyptic number.

44778037968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44778037968 is an abundant number, since it is smaller than the sum of its proper divisors (85986821712).

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

44778037968 is a wasteful number, since it uses less digits than its factorization.

44778037968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13519976 (or 13519967 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 44778037968 in words is "forty-four billion, seven hundred seventy-eight million, thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 13519939 27039878 40559817 54079756 81119634 108159512 121679451 162239268 216319024 243358902 310958597 324478536 486717804 621917194 648957072 932875791 973435608 1243834388 1865751582 1946871216 2487668776 2798627373 3731503164 4975337552 5597254746 7463006328 11194509492 14926012656 22389018984 44778037968