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827240686640 = 24531674978579
BaseRepresentation
bin11000000100110110110…
…00110010010000110000
32221002020211022000000122
430002123120302100300
5102023142103433030
61432010142505412
7113523536550344
oct14023330622060
92832224260018
10827240686640
1129991588a865
121143a9295268
136001578b774
142c07813b624
15167b9a6b8e5
hexc09b632430

827240686640 has 80 divisors (see below), whose sum is σ = 2015010554880. Its totient is φ = 315442702080.

The previous prime is 827240686627. The next prime is 827240686681. The reversal of 827240686640 is 46686042728.

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

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, 2323130 + ... + 2655449.

It is an arithmetic number, because the mean of its divisors is an integer number (25187631936).

Almost surely, 2827240686640 is an apocalyptic number.

827240686640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827240686640 is an abundant number, since it is smaller than the sum of its proper divisors (1187769868240).

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

827240686640 is a wasteful number, since it uses less digits than its factorization.

827240686640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978690 (or 4978684 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 53.

The spelling of 827240686640 in words is "eight hundred twenty-seven billion, two hundred forty million, six hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 67 80 124 134 155 248 268 310 335 496 536 620 670 1072 1240 1340 2077 2480 2680 4154 5360 8308 10385 16616 20770 33232 41540 83080 166160 4978579 9957158 19914316 24892895 39828632 49785790 79657264 99571580 154335949 199143160 308671898 333564793 398286320 617343796 667129586 771679745 1234687592 1334259172 1543359490 1667823965 2469375184 2668518344 3086718980 3335647930 5337036688 6173437960 6671295860 10340508583 12346875920 13342591720 20681017166 26685183440 41362034332 51702542915 82724068664 103405085830 165448137328 206810171660 413620343320 827240686640