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2062414320054 = 23114114915973203
BaseRepresentation
bin11110000000110001011…
…110010001000110110110
321022011110012101211012120
4132000301132101012312
5232242311031220204
64215243212300410
7302001356320524
oct36006136210666
97264405354176
102062414320054
11725735131280
12293862471706
1311c63c2521ba
1471b6dc4d314
15389ac6846d9
hex1e0317911b6

2062414320054 has 128 divisors (see below), whose sum is σ = 4644856742400. Its totient is φ = 605070412800.

The previous prime is 2062414319993. The next prime is 2062414320091. The reversal of 2062414320054 is 4500234142602.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2062414319997 and 2062414320024.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 643899217 + ... + 643902419.

It is an arithmetic number, because the mean of its divisors is an integer number (36287943300).

Almost surely, 22062414320054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2062414320054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322428371200).

2062414320054 is an abundant number, since it is smaller than the sum of its proper divisors (2582442422346).

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

2062414320054 is a wasteful number, since it uses less digits than its factorization.

2062414320054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 2062414320054 its reverse (4500234142602), we get a palindrome (6562648462656).

The spelling of 2062414320054 in words is "two trillion, sixty-two billion, four hundred fourteen million, three hundred twenty thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 149 246 298 447 451 894 902 1353 1597 1639 2706 3194 3203 3278 4791 4917 6109 6406 9582 9609 9834 12218 17567 18327 19218 35134 35233 36654 52701 65477 67199 70466 105402 105699 130954 131323 134398 196431 201597 211398 237953 262646 392862 393969 403194 475906 477247 713859 720247 787938 954494 1427718 1431741 1440494 1444553 2160741 2617483 2863482 2889106 4321482 4333659 5115191 5234966 5249717 7852449 8667318 9756073 10230382 10499434 15345573 15704898 15749151 19512146 19567127 29268219 30691146 31498302 39134254 56267101 58536438 58701381 107316803 112534202 117402762 168801303 209722831 214633606 215238397 321950409 337602606 419445662 430476794 629168493 643900818 645715191 762163459 1258336986 1291430382 1524326918 2286490377 2306951141 4572980754 4613902282 6920853423 8383798049 13841706846 16767596098 25151394147 31248701819 50302788294 62497403638 93746105457 187492210914 343735720009 687471440018 1031207160027 2062414320054