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44774196768 = 25337193112569
BaseRepresentation
bin101001101100110000…
…000000011000100000
311021120101112212021000
4221230300000120200
51213144143244033
632322522232000
73143355251550
oct515460003040
9137511485230
1044774196768
1117a96959804
128816955600
1342b71c1172
14224a691160
151270bd8a13
hexa6cc00620

44774196768 has 384 divisors, whose sum is σ = 162183168000. Its totient is φ = 11727452160.

The previous prime is 44774196767. The next prime is 44774196773. The reversal of 44774196768 is 86769147744.

44774196768 is a `hidden beast` number, since 4 + 477 + 4 + 1 + 96 + 76 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (44774196767) 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 63 ways as a sum of consecutive naturals, for example, 3555988 + ... + 3568556.

It is an arithmetic number, because the mean of its divisors is an integer number (422352000).

Almost surely, 244774196768 is an apocalyptic number.

44774196768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44774196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81091584000).

44774196768 is an abundant number, since it is smaller than the sum of its proper divisors (117408971232).

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

44774196768 is a wasteful number, since it uses less digits than its factorization.

44774196768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12631 counting only the distinct ones).

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

The spelling of 44774196768 in words is "forty-four billion, seven hundred seventy-four million, one hundred ninety-six thousand, seven hundred sixty-eight".