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2538279867204 = 223461214512
BaseRepresentation
bin100100111011111101010…
…001010001001101000100
322222122202002101022010000
4210323331101101031010
5313041344121222304
65222023014401300
7351245640611664
oct44737521211504
98878662338100
102538279867204
118995298a3074
1234bb28960230
13155488289433
148abd3a381a4
154605e5b8939
hex24efd451344

2538279867204 has 135 divisors (see below), whose sum is σ = 6750780489453. Its totient is φ = 831649356000.

The previous prime is 2538279867181. The next prime is 2538279867209. The reversal of 2538279867204 is 4027689728352.

The square root of 2538279867204 is 1593198.

It is a perfect power (a square), and thus also a powerful number.

2538279867204 is a `hidden beast` number, since 2 + 538 + 2 + 7 + 98 + 6 + 7 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82540140804 + 2455739726400 = 287298^2 + 1567080^2 .

It is not an unprimeable number, because it can be changed into a prime (2538279867209) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1749330679 + ... + 1749332129.

Almost surely, 22538279867204 is an apocalyptic number.

2538279867204 is the 1593198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538279867204

2538279867204 is an abundant number, since it is smaller than the sum of its proper divisors (4212500622249).

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

2538279867204 is an frugal number, since it uses more digits than its factorization.

2538279867204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 2538279867204 in words is "two trillion, five hundred thirty-eight billion, two hundred seventy-nine million, eight hundred sixty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1451 1647 2196 2902 3294 3721 4353 4941 5804 6588 7442 8706 9882 11163 13059 14884 17412 19764 22326 26118 33489 39177 44652 52236 66978 78354 88511 100467 117531 133956 156708 177022 200934 235062 265533 301401 354044 401868 470124 531066 602802 796599 1062132 1205604 1593198 2105401 2389797 3186396 4210802 4779594 5399171 6316203 7169391 8421604 9559188 10798342 12632406 14338782 16197513 18948609 21596684 25264812 28677564 32395026 37897218 48592539 56845827 64790052 75794436 97185078 113691654 128429461 145777617 170537481 194370156 227383308 256858922 291555234 341074962 385288383 437332851 513717844 583110468 682149924 770576766 874665702 1155865149 1541153532 1749331404 2311730298 3467595447 4623460596 6935190894 7834197121 10402786341 13870381788 15668394242 20805572682 23502591363 31336788484 41611145364 47005182726 70507774089 94010365452 141015548178 211523322267 282031096356 423046644534 634569966801 846093289068 1269139933602 2538279867204