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22329855681680 = 2451423196151227
BaseRepresentation
bin1010001001111000100110…
…00111011010010010010000
32221001201021000222011020002
411010330103013122102100
510411323021023303210
6115254105531105132
74463164432404131
oct504742307322220
987051230864202
1022329855681680
11712a047437708
1226078135a21a8
13c5c908b7c031
14572ab104bc88
1528acb66404a5
hex144f131da490

22329855681680 has 40 divisors (see below), whose sum is σ = 51953398852992. Its totient is φ = 8925665387904.

The previous prime is 22329855681641. The next prime is 22329855681689. The reversal of 22329855681680 is 8618655892322.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22329855681689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97961774 + ... + 98189453.

Almost surely, 222329855681680 is an apocalyptic number.

22329855681680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22329855681680 is an abundant number, since it is smaller than the sum of its proper divisors (29623543171312).

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

22329855681680 is a wasteful number, since it uses less digits than its factorization.

22329855681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196152663 (or 196152657 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 65.

The spelling of 22329855681680 in words is "twenty-two trillion, three hundred twenty-nine billion, eight hundred fifty-five million, six hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1423 2846 5692 7115 11384 14230 22768 28460 56920 113840 196151227 392302454 784604908 980756135 1569209816 1961512270 3138419632 3923024540 7846049080 15692098160 279123196021 558246392042 1116492784084 1395615980105 2232985568168 2791231960210 4465971136336 5582463920420 11164927840840 22329855681680