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44088164080 = 2452942145139
BaseRepresentation
bin101001000011110110…
…111111111011110000
311012210120122210022221
4221003312333323300
51210243032222310
632130454210424
73120355132342
oct510366777360
9135716583287
1044088164080
111777468a244
128665053a14
13420803236c
1421c3511292
151230874ada
hexa43dbfef0

44088164080 has 80 divisors (see below), whose sum is σ = 106293866400. Its totient is φ = 16986332160.

The previous prime is 44088164027. The next prime is 44088164083. The reversal of 44088164080 is 8046188044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44088164083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954151 + ... + 999289.

It is an arithmetic number, because the mean of its divisors is an integer number (1328673330).

Almost surely, 244088164080 is an apocalyptic number.

44088164080 is a gapful number since it is divisible by the number (40) 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 44088164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53146933200).

44088164080 is an abundant number, since it is smaller than the sum of its proper divisors (62205702320).

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

44088164080 is a wasteful number, since it uses less digits than its factorization.

44088164080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45602 (or 45596 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 44088164080 in words is "forty-four billion, eighty-eight million, one hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 421 464 580 842 1160 1684 2105 2320 3368 4210 6736 8420 12209 16840 24418 33680 45139 48836 61045 90278 97672 122090 180556 195344 225695 244180 361112 451390 488360 722224 902780 976720 1309031 1805560 2618062 3611120 5236124 6545155 10472248 13090310 19003519 20944496 26180620 38007038 52361240 76014076 95017595 104722480 152028152 190035190 304056304 380070380 551102051 760140760 1102204102 1520281520 2204408204 2755510255 4408816408 5511020510 8817632816 11022041020 22044082040 44088164080