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81781143747744 = 2537121698130577
BaseRepresentation
bin10010100110000100101000…
…000001011011110010100000
3101201120012102112001022210110
4102212010220001123302200
541204400240244411434
6445533423324331320
723140330660145130
oct2246045001336240
9351505375038713
1081781143747744
1124070208685381
1292098976a3b40
133682c0c659abc
14162a32ad26ac0
1596c4add4e4e9
hex4a612805bca0

81781143747744 has 48 divisors (see below), whose sum is σ = 245343431245248. Its totient is φ = 23366041070592.

The previous prime is 81781143747739. The next prime is 81781143747767. The reversal of 81781143747744 is 44774734118718.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 60849064617 + ... + 60849065960.

It is an arithmetic number, because the mean of its divisors is an integer number (5111321484276).

Almost surely, 281781143747744 is an apocalyptic number.

81781143747744 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81781143747744 is an abundant number, since it is smaller than the sum of its proper divisors (163562287497504).

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

81781143747744 is a wasteful number, since it uses less digits than its factorization.

81781143747744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121698130597 (or 121698130589 counting only the distinct ones).

The product of its digits is 118013952, while the sum is 66.

The spelling of 81781143747744 in words is "eighty-one trillion, seven hundred eighty-one billion, one hundred forty-three million, seven hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 121698130577 243396261154 365094391731 486792522308 730188783462 851886914039 973585044616 1460377566924 1703773828078 1947170089232 2555660742117 2920755133848 3407547656156 3894340178464 5111321484234 5841510267696 6815095312312 10222642968468 11683020535392 13630190624624 20445285936936 27260381249248 40890571873872 81781143747744