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20156202868356 = 2232193238772
BaseRepresentation
bin1001001010100111110110…
…10011111101111010000100
32122100220200102201101021100
410211103323103331322010
510120214400413241411
6110511344243420100
74150144332343302
oct445237323757204
978326612641240
1020156202868356
11647121a058a75
1223164a7684630
13b3294c97b9a9
144d97cb749272
1524e4982c2456
hex1254fb4fde84

20156202868356 has 81 divisors (see below), whose sum is σ = 51228974806191. Its totient is φ = 6682198201344.

The previous prime is 20156202868289. The next prime is 20156202868363. The reversal of 20156202868356 is 65386820265102.

The square root of 20156202868356 is 4489566.

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

20156202868356 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 6 + 2 + 0 + 286 + 8 + 356 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5109561868356 + 15046641000000 = 2260434^2 + 3879000^2 .

It is a super-2 number, since 2×201562028683562 (a number of 27 digits) contains 22 as substring.

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, 5198915490 + ... + 5198919366.

Almost surely, 220156202868356 is an apocalyptic number.

20156202868356 is the 4489566-th square number.

It is an amenable number.

20156202868356 is an abundant number, since it is smaller than the sum of its proper divisors (31072771937835).

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

20156202868356 is an frugal number, since it uses more digits than its factorization.

20156202868356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 20156202868356 in words is "twenty trillion, one hundred fifty-six billion, two hundred two million, eight hundred sixty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 3877 6948 7754 11631 15508 23262 34893 37249 46524 69786 74498 111747 139572 148996 223494 335241 446988 670482 748261 1340964 1496522 2244783 2993044 4489566 6734349 8979132 13468698 15031129 26937396 30062258 45093387 60124516 90186774 135280161 144414373 180373548 270560322 288828746 433243119 541120644 577657492 866486238 1299729357 1732972476 2599458714 2901007897 5198917428 5802015794 8703023691 11604031588 17406047382 26109071073 34812094764 52218142146 104436284292 559894524121 1119789048242 1679683572363 2239578096484 3359367144726 5039050717089 6718734289452 10078101434178 20156202868356