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44623432644 = 22373835932339
BaseRepresentation
bin101001100011110000…
…111000101111000100
311021011212212020202120
4221203300320233010
51212342044321034
632255535005540
73136544630160
oct514360705704
9137155766676
1044623432644
1117a1984545a
1287943698b0
134291bb551b
142234647ca0
151262857c49
hexa63c38bc4

44623432644 has 96 divisors (see below), whose sum is σ = 119558799360. Its totient is φ = 12689392128.

The previous prime is 44623432619. The next prime is 44623432657.

44623432644 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44623432596 and 44623432605.

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 31 ways as a sum of consecutive naturals, for example, 19076827 + ... + 19079165.

It is an arithmetic number, because the mean of its divisors is an integer number (1245404160).

Almost surely, 244623432644 is an apocalyptic number.

It is an amenable number.

44623432644 is an abundant number, since it is smaller than the sum of its proper divisors (74935366716).

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

44623432644 is a wasteful number, since it uses less digits than its factorization.

44623432644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3327 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 44623432644 in words is "forty-four billion, six hundred twenty-three million, four hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 383 593 766 1149 1186 1532 1779 2298 2339 2372 2681 3558 4151 4596 4678 5362 7017 7116 8043 8302 9356 10724 12453 14034 16086 16373 16604 24906 28068 32172 32746 49119 49812 65492 98238 196476 227119 454238 681357 895837 908476 1362714 1387027 1589833 1791674 2687511 2725428 2774054 3179666 3583348 4161081 4769499 5375022 5548108 6270859 6359332 8322162 9538998 9709189 10750044 12541718 16644324 18812577 19077996 19418378 25083436 29127567 37625154 38836756 58255134 75250308 116510268 531231341 1062462682 1593694023 2124925364 3187388046 3718619387 6374776092 7437238774 11155858161 14874477548 22311716322 44623432644