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2263140133362 = 2321921013343813
BaseRepresentation
bin100000111011101101101…
…010011110100111110010
322000100120010102122101100
4200323231222132213302
5244034402333231422
64451401111145230
7322335502506363
oct40735552364762
98010503378340
102263140133362
117a2879672789
12306741075216
1313554aa4abb4
147b7724a7b6a
153dd096c97ac
hex20eeda9e9f2

2263140133362 has 72 divisors (see below), whose sum is σ = 5180254477164. Its totient is φ = 713968250688.

The previous prime is 2263140133339. The next prime is 2263140133363. The reversal of 2263140133362 is 2633310413622.

2263140133362 is a `hidden beast` number, since 2 + 2 + 6 + 314 + 0 + 1 + 3 + 336 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1702766619801 + 560373513561 = 1304901^2 + 748581^2 .

It is a super-2 number, since 2×22631401333622 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2263140133363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6410568 + ... + 6754380.

Almost surely, 22263140133362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263140133362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590127238582).

2263140133362 is an abundant number, since it is smaller than the sum of its proper divisors (2917114343802).

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

2263140133362 is a wasteful number, since it uses less digits than its factorization.

2263140133362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344872 (or 344850 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 2263140133362 its reverse (2633310413622), we get a palindrome (4896450546984).

The spelling of 2263140133362 in words is "two trillion, two hundred sixty-three billion, one hundred forty million, one hundred thirty-three thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1013 1083 2026 2166 3039 3249 6078 6498 9117 18234 19247 38494 57741 115482 173223 343813 346446 365693 687626 731386 1031439 1097079 2062878 2194158 3094317 3291237 6188634 6532447 6582474 13064894 19597341 39194682 58792023 117584046 124116493 248232986 348282569 372349479 696565138 744698958 1044847707 1117048437 2089695414 2234096874 3134543121 6269086242 6617368811 13234737622 19852106433 39704212866 59556319299 119112638598 125730007409 251460014818 377190022227 754380044454 1131570066681 2263140133362