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2104455442005 = 325722773445493
BaseRepresentation
bin11110100111111011010…
…100011010111001010101
321110011222010012002122100
4132213323110122321111
5233434411043121010
64250435023352313
7305020240053300
oct36477324327125
97404863162570
102104455442005
11741549263464
1229ba35a52699
131235ac149217
1473bdb53bb37
1539b1d4532c0
hex1e9fb51ae55

2104455442005 has 72 divisors (see below), whose sum is σ = 4258589238072. Its totient is φ = 958563438336.

The previous prime is 2104455441971. The next prime is 2104455442007. The reversal of 2104455442005 is 5002445544012.

2104455442005 is a `hidden beast` number, since 2 + 1 + 0 + 445 + 5 + 4 + 4 + 200 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121200067044 + 1983255374961 = 348138^2 + 1408281^2 .

It is not a de Polignac number, because 2104455442005 - 26 = 2104455441941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104455442007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1111962 + ... + 2333531.

It is an arithmetic number, because the mean of its divisors is an integer number (59147072751).

Almost surely, 22104455442005 is an apocalyptic number.

It is an amenable number.

2104455442005 is an abundant number, since it is smaller than the sum of its proper divisors (2154133796067).

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

2104455442005 is a wasteful number, since it uses less digits than its factorization.

2104455442005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445795 (or 3445785 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 2104455442005 in words is "two trillion, one hundred four billion, four hundred fifty-five million, four hundred forty-two thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 277 315 441 735 831 1385 1939 2205 2493 4155 5817 9695 12465 13573 17451 29085 40719 67865 87255 122157 203595 610785 3445493 10336479 17227465 24118451 31009437 51682395 72355353 120592255 155047185 168829157 217066059 361776765 506487471 844145785 954401561 1085330295 1519462413 2532437355 2863204683 4772007805 6680810927 7597312065 8589614049 14316023415 20042432781 33404054635 42948070245 46765676489 60127298343 100212163905 140297029467 233828382445 300636491715 420891088401 701485147335 2104455442005