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44484970388176 = 24232915377271079
BaseRepresentation
bin10100001110101011101101…
…10110111001101011010000
312211111201111001222001000101
422013111312312321223100
521312320204404410201
6234340040244502144
712240635015246113
oct1207256666715320
9184451431861011
1044484970388176
11131a0a7407733a
124ba559a6aa954
131ba8bb77c7816
14adb12690a57a
155222520e6d01
hex287576db9ad0

44484970388176 has 80 divisors (see below), whose sum is σ = 93044675116800. Its totient is φ = 20540373776384.

The previous prime is 44484970388143. The next prime is 44484970388203. The reversal of 44484970388176 is 67188307948444.

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44484970388099 and 44484970388108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163967805 + ... + 164238883.

It is an arithmetic number, because the mean of its divisors is an integer number (1163058438960).

Almost surely, 244484970388176 is an apocalyptic number.

44484970388176 is a gapful number since it is divisible by the number (46) 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 44484970388176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46522337558400).

44484970388176 is an abundant number, since it is smaller than the sum of its proper divisors (48559704728624).

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

44484970388176 is a wasteful number, since it uses less digits than its factorization.

44484970388176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286516 (or 286510 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 73.

The spelling of 44484970388176 in words is "forty-four trillion, four hundred eighty-four billion, nine hundred seventy million, three hundred eighty-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1334 2668 5336 10672 15377 30754 61508 123016 246032 271079 353671 445933 542158 707342 891866 1084316 1414684 1783732 2168632 2829368 3567464 4337264 5658736 6234817 7134928 7861291 10256459 12469634 15722582 20512918 24939268 31445164 41025836 49878536 62890328 82051672 99757072 125780656 164103344 180809693 361619386 723238772 1446477544 2892955088 4168381783 8336763566 16673527132 33347054264 66694108528 95872781009 120883071707 191745562018 241766143414 383491124036 483532286828 766982248072 967064573656 1533964496144 1934129147312 2780310649261 5560621298522 11121242597044 22242485194088 44484970388176