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2289954726112 = 25592695478243
BaseRepresentation
bin100001010100101011111…
…100000010000011100000
322002220202212211002111011
4201110223330002003200
5300004311402213422
64511553553030304
7324305133003544
oct41245374020340
98086685732434
102289954726112
11803189820139
1230b985255394
13137c321b3621
147cb97845a24
153e878839077
hex2152bf020e0

2289954726112 has 96 divisors (see below), whose sum is σ = 4610776867200. Its totient is φ = 1119200828928.

The previous prime is 2289954726109. The next prime is 2289954726113. The reversal of 2289954726112 is 2116274599822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289954726113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277801863 + ... + 277810105.

It is an arithmetic number, because the mean of its divisors is an integer number (48028925700).

Almost surely, 22289954726112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289954726112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305388433600).

2289954726112 is an abundant number, since it is smaller than the sum of its proper divisors (2320822141088).

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

2289954726112 is a wasteful number, since it uses less digits than its factorization.

2289954726112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128 (or 9120 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 2289954726112 in words is "two trillion, two hundred eighty-nine billion, nine hundred fifty-four million, seven hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 59 118 236 269 472 538 547 944 1076 1094 1888 2152 2188 4304 4376 8243 8608 8752 15871 16486 17504 31742 32273 32972 63484 64546 65944 126968 129092 131888 147143 253936 258184 263776 294286 486337 507872 516368 588572 972674 1032736 1177144 1945348 2217367 2354288 3890696 4434734 4508921 4708576 7781392 8681437 8869468 9017842 15562784 17362874 17738936 18035684 34725748 35477872 36071368 69451496 70955744 72142736 130824653 138902992 144285472 261649306 266026339 277805984 523298612 532052678 1046597224 1064105356 1212899749 2093194448 2128210712 2425799498 4186388896 4256421424 4851598996 8512842848 9703197992 19406395984 38812791968 71561085191 143122170382 286244340764 572488681528 1144977363056 2289954726112