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6442242096801 = 374773306729153
BaseRepresentation
bin101110110111111001110…
…0011010011111010100001
3211210212112221001202222210
41131233303203103322201
51321022202434044201
621411305233552333
71233302523212310
oct135576343237241
924725487052883
106442242096801
112064159795355
12880671a156a9
13379668401094
14183b40238277
15b289e0ed1d6
hex5dbf38d3ea1

6442242096801 has 64 divisors (see below), whose sum is σ = 10166616465408. Its totient is φ = 3552319991808.

The previous prime is 6442242096793. The next prime is 6442242096817. The reversal of 6442242096801 is 1086902422446.

It is not a de Polignac number, because 6442242096801 - 23 = 6442242096793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6442242096401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220965841 + ... + 220994993.

It is an arithmetic number, because the mean of its divisors is an integer number (158853382272).

Almost surely, 26442242096801 is an apocalyptic number.

It is an amenable number.

6442242096801 is a deficient number, since it is larger than the sum of its proper divisors (3724374368607).

6442242096801 is a wasteful number, since it uses less digits than its factorization.

6442242096801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32350.

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 6442242096801 in words is "six trillion, four hundred forty-two billion, two hundred forty-two million, ninety-six thousand, eight hundred one".

Divisors: 1 3 7 21 47 73 141 219 329 511 987 1533 3067 3431 9201 10293 21469 24017 29153 64407 72051 87459 144149 204071 223891 432447 612213 671673 1009043 1370191 1567237 2128169 3027129 4110573 4701711 6384507 9591337 10522877 14897183 28774011 31568631 44691549 73660139 89412251 100023943 220980417 268236753 300071829 625885757 700167601 1877657271 2100502803 4202375797 6527094323 12607127391 19581282969 29416630579 45689660261 88249891737 137068980783 306773433181 920320299543 2147414032267 6442242096801