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872427226415373 = 321725373547915823
BaseRepresentation
bin1100011001011101111100101…
…0111011000100000100001101
311020102000020011102212102120200
43012113133022323010010031
51403322321424430242443
612331255311311204113
7351522533652426306
oct30627371273040415
94212006142772520
10872427226415373
11232a893441a9422
1281a222a8b16639
132b5a56c422b245
14115619bb2a97ad
156acdc7a9d4dd3
hex31977caec410d

872427226415373 has 144 divisors (see below), whose sum is σ = 1382942234718720. Its totient is φ = 529589544726528.

The previous prime is 872427226415351. The next prime is 872427226415389. The reversal of 872427226415373 is 373514622724278.

872427226415373 is a `hidden beast` number, since 8 + 7 + 2 + 4 + 2 + 72 + 26 + 4 + 1 + 537 + 3 = 666.

872427226415373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 872427226415373 - 212 = 872427226411277 is a prime.

It is a super-2 number, since 2×8724272264153732 (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 872427226415373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872427226425373) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55136642940 + ... + 55136658762.

It is an arithmetic number, because the mean of its divisors is an integer number (9603765518880).

Almost surely, 2872427226415373 is an apocalyptic number.

It is an amenable number.

872427226415373 is a deficient number, since it is larger than the sum of its proper divisors (510515008303347).

872427226415373 is a wasteful number, since it uses less digits than its factorization.

872427226415373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21468 (or 21448 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 63.

The spelling of 872427226415373 in words is "eight hundred seventy-two trillion, four hundred twenty-seven billion, two hundred twenty-six million, four hundred fifteen thousand, three hundred seventy-three".

Divisors: 1 3 9 17 51 53 73 153 159 219 289 477 657 867 901 1241 2601 2703 3723 3869 5479 8109 11169 11607 15317 15823 16437 21097 34821 45951 47469 49311 63291 65773 93143 137853 142407 189873 197319 268991 279429 290387 399967 591957 806973 838287 838619 871161 1118141 1155079 1199901 1583431 2420919 2515857 2613483 3354423 3465237 3599703 4572847 4750293 4936579 6799439 7547571 10063269 10395711 13718541 14250879 14256523 14809737 19636343 20398317 21198251 41155623 42769569 44429211 58909029 61194951 61219187 63594753 83921843 86694217 115590463 128308707 176727087 183657561 190784259 242360891 251765529 260082651 333817831 346771389 360370267 550972683 727082673 755296587 780247953 1001453493 1040314167 1040726179 1081110801 1473801689 2181248019 3004360479 3122178537 3243332403 4421405067 4594793501 6126294539 6328677841 9366535611 13264215201 13784380503 17692345043 18378883617 18986033523 25054628713 41353141509 53077035129 55136650851 56958100569 75163886139 78111489517 107587523297 159231105387 225491658417 234334468551 322762569891 335419925573 703003405653 968287709673 1006259776719 1327895321789 1828987896049 3018779330157 3983685965367 5486963688147 5702138734741 11951057896101 16460891064441 17106416204223 51319248612669 96936358490597 290809075471791 872427226415373