Search a number
-
+
450330104104664 = 23779101792519011
BaseRepresentation
bin110011001100100101010010…
…1111000110000011011011000
32012001111010201020112101011012
41212121022211320300123120
5433011202023122322124
64233434443244553052
7163566163534064120
oct14631124570603330
92161433636471135
10450330104104664
11120541a1975a423
1242610ba8852788
1316437c3c8b45c4
147d2c14417bc80
15370e1bd28be0e
hex19992a5e306d8

450330104104664 has 32 divisors (see below), whose sum is σ = 977208182515200. Its totient is φ = 190555595586720.

The previous prime is 450330104104631. The next prime is 450330104104667. The reversal of 450330104104664 is 466401401033054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450330104104667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50896255082 + ... + 50896263929.

It is an arithmetic number, because the mean of its divisors is an integer number (30537755703600).

Almost surely, 2450330104104664 is an apocalyptic number.

It is an amenable number.

450330104104664 is an abundant number, since it is smaller than the sum of its proper divisors (526878078410536).

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

450330104104664 is a wasteful number, since it uses less digits than its factorization.

450330104104664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101792519103 (or 101792519099 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 450330104104664 in words is "four hundred fifty trillion, three hundred thirty billion, one hundred four million, one hundred four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 2212 4424 101792519011 203585038022 407170076044 712547633077 814340152088 1425095266154 2850190532308 5700381064616 8041609001869 16083218003738 32166436007476 56291263013083 64332872014952 112582526026166 225165052052332 450330104104664