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272690751204 = 22346724332
BaseRepresentation
bin1111110111110110100…
…0101010011011100100
3222001212021202110010000
43331331220222123210
513431432313014304
6325134501101300
725462350066234
oct3757550523344
9861767673100
10272690751204
11a57139024a3
1244a236b7830
131c93a0625b1
14d2ac1ddcc4
15715edde939
hex3f7da2a6e4

272690751204 has 135 divisors (see below), whose sum is σ = 725341249017. Its totient is φ = 89333456256.

The previous prime is 272690751173. The next prime is 272690751227. The reversal of 272690751204 is 402157096272.

The square root of 272690751204 is 522198.

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

272690751204 is a `hidden beast` number, since 2 + 72 + 69 + 0 + 7 + 512 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30579516900 + 242111234304 = 174870^2 + 492048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 272690751204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 629770572 + ... + 629771004.

Almost surely, 2272690751204 is an apocalyptic number.

272690751204 is the 522198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272690751204

272690751204 is an abundant number, since it is smaller than the sum of its proper divisors (452650497813).

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

272690751204 is an frugal number, since it uses more digits than its factorization.

272690751204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 272690751204 in words is "two hundred seventy-two billion, six hundred ninety million, seven hundred fifty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 402 433 603 804 866 1206 1299 1732 1809 2412 2598 3618 3897 4489 5196 5427 7236 7794 8978 10854 11691 13467 15588 17956 21708 23382 26934 29011 35073 40401 46764 53868 58022 70146 80802 87033 116044 121203 140292 161604 174066 187489 242406 261099 348132 363609 374978 484812 522198 562467 727218 749956 783297 1044396 1124934 1454436 1566594 1687401 1943737 2249868 2349891 3133188 3374802 3887474 4699782 5062203 5831211 6749604 7774948 9399564 10124406 11662422 12561763 15186609 17493633 20248812 23324844 25123526 30373218 34987266 37685289 50247052 52480899 60746436 69974532 75370578 104961798 113055867 150741156 157442697 209923596 226111734 314885394 339167601 452223468 629770788 678335202 841638121 1017502803 1356670404 1683276242 2035005606 2524914363 3366552484 4070011212 5049828726 7574743089 10099657452 15149486178 22724229267 30298972356 45448458534 68172687801 90896917068 136345375602 272690751204