Search a number
-
+
2206046402046 = 23441643516541
BaseRepresentation
bin100000000110100010100…
…111001011010111111110
321210220012011111120210000
4200012202213023113332
5242120440334331141
64405235502255130
7315244613011254
oct40064247132776
97726164446700
102206046402046
11780640756373
122b76685874a6
1313004c447b26
1478ab79bc5d4
153c5b71a35b6
hex201a29cb5fe

2206046402046 has 80 divisors (see below), whose sum is σ = 5071628369808. Its totient is φ = 716296348800.

The previous prime is 2206046402029. The next prime is 2206046402051. The reversal of 2206046402046 is 6402046406022.

2206046402046 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 0 + 4 + 640 + 2 + 0 + 4 + 6 = 666.

2206046402046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22060464020462 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2206046402046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4012536 + ... + 4529076.

Almost surely, 22206046402046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206046402046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535814184904).

2206046402046 is an abundant number, since it is smaller than the sum of its proper divisors (2865581967762).

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

2206046402046 is a wasteful number, since it uses less digits than its factorization.

2206046402046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517239 (or 517230 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2206046402046 in words is "two trillion, two hundred six billion, forty-six million, four hundred two thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 643 738 1107 1286 1929 2214 3321 3858 5787 6642 11574 17361 26363 34722 52083 52726 79089 104166 158178 237267 474534 516541 711801 1033082 1423602 1549623 2135403 3099246 4270806 4648869 9297738 13946607 21178181 27893214 41839821 42356362 63534543 83679642 127069086 190603629 332135863 381207258 571810887 664271726 996407589 1143621774 1715432661 1992815178 2989222767 3430865322 5978445534 8967668301 13617570383 17935336602 26903004903 27235140766 40852711149 53806009806 81705422298 122558133447 245116266894 367674400341 735348800682 1103023201023 2206046402046