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2018252105104 = 242923723312
BaseRepresentation
bin11101010111101001001…
…100110010010110010000
321010221110110101212011211
4131113221030302112100
5231031340014330404
64143101110545504
7265546111560334
oct35275114622620
97127413355154
102018252105104
11708a32774574
12287198668294
13118421a93571
146d9809837c4
1537775583b04
hex1d5e9332590

2018252105104 has 135 divisors (see below), whose sum is σ = 4174879796451. Its totient is φ = 945131362560.

The previous prime is 2018252105087. The next prime is 2018252105113. The reversal of 2018252105104 is 4015012528102.

The square root of 2018252105104 is 1420652.

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

It can be written as a sum of positive squares in 4 ways, for example, as 429522944400 + 1588729160704 = 655380^2 + 1260448^2 .

It is a super-3 number, since 3×20182521051043 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6097438219 + ... + 6097438549.

Almost surely, 22018252105104 is an apocalyptic number.

2018252105104 is the 1420652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2018252105104

2018252105104 is an abundant number, since it is smaller than the sum of its proper divisors (2156627691347).

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

2018252105104 is an frugal number, since it uses more digits than its factorization.

2018252105104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The spelling of 2018252105104 in words is "two trillion, eighteen billion, two hundred fifty-two million, one hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 331 464 592 662 841 1073 1324 1369 1682 2146 2648 2738 3364 4292 5296 5476 6728 8584 9599 10952 12247 13456 17168 19198 21904 24494 31117 38396 39701 48988 62234 76792 79402 97976 109561 124468 153584 158804 195952 219122 248936 278371 317608 355163 438244 453139 497872 556742 635216 710326 876488 906278 1113484 1151329 1420652 1752976 1812556 2226968 2302658 2841304 3177269 3625112 4053757 4453936 4605316 5682608 6354538 7250224 8107514 9210632 10299727 12709076 13141031 16215028 18421264 20599454 25418152 26282062 32430056 41198908 50836304 52564124 64860112 82397816 92140801 105128248 117558953 149989009 164795632 184281602 210256496 235117906 299978018 368563204 381089899 470235812 599956036 737126408 762179798 940471624 1199912072 1474252816 1524359596 1880943248 2399824144 3048719192 3409209637 4349681261 6097438384 6818419274 8699362522 13636838548 17398725044 27273677096 34797450088 54547354192 69594900176 126140756569 252281513138 504563026276 1009126052552 2018252105104