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2263470743622 = 23112191011624663
BaseRepresentation
bin100000111100000001010…
…111101010000001000110
322000101102011112101101210
4200330001113222001012
5244041042002243442
64451454001232250
7322346625605604
oct40740127520106
98011364471353
102263470743622
117a2a29254100
12306813932686
131355a13a567a
147b7a4368874
153dd2873319c
hex20f015ea046

2263470743622 has 96 divisors (see below), whose sum is σ = 5289646037760. Its totient is φ = 643366152000.

The previous prime is 2263470743617. The next prime is 2263470743647.

It is a happy number.

2263470743622 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580863 + ... + 2205525.

It is an arithmetic number, because the mean of its divisors is an integer number (55100479560).

Almost surely, 22263470743622 is an apocalyptic number.

2263470743622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263470743622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644823018880).

2263470743622 is an abundant number, since it is smaller than the sum of its proper divisors (3026175294138).

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

2263470743622 is a wasteful number, since it uses less digits than its factorization.

2263470743622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624810 (or 1624799 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 2263470743622 in words is "two trillion, two hundred sixty-three billion, four hundred seventy million, seven hundred forty-three thousand, six hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 101 114 121 202 209 242 303 363 418 606 627 726 1111 1254 1919 2222 2299 3333 3838 4598 5757 6666 6897 11514 12221 13794 21109 24442 36663 42218 63327 73326 126654 232199 464398 696597 1393194 1624663 3249326 4873989 9747978 17871293 30868597 35742586 53613879 61737194 92605791 107227758 164090963 185211582 196584223 328181926 339554567 393168446 492272889 589752669 679109134 984545778 1018663701 1179505338 1805000593 2037327402 3117728297 3610001186 3735100237 5415001779 6235456594 7470200474 9353184891 10830003558 11205300711 18706369782 19855006523 22410601422 34295011267 39710013046 59565019569 68590022534 102885033801 119130039138 205770067602 377245123937 754490247874 1131735371811 2263470743622