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427101202605 = 3571136745613
BaseRepresentation
bin1100011011100010011…
…01110010100010101101
31111211102102021002220110
412031301031302202231
523444200401440410
6524112501010233
742566652215340
oct6156115624255
91454372232813
10427101202605
11155150549000
126a9373b3979
1331377293bbc
141695962a457
15b19acbe720
hex63713728ad

427101202605 has 128 divisors (see below), whose sum is σ = 871865266176. Its totient is φ = 174843567360.

The previous prime is 427101202589. The next prime is 427101202609. The reversal of 427101202605 is 506202101724.

427101202605 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 427101202605 - 24 = 427101202589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427101202609) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9340779 + ... + 9386391.

It is an arithmetic number, because the mean of its divisors is an integer number (6811447392).

Almost surely, 2427101202605 is an apocalyptic number.

It is an amenable number.

427101202605 is an abundant number, since it is smaller than the sum of its proper divisors (444764063571).

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

427101202605 is a wasteful number, since it uses less digits than its factorization.

427101202605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45728 (or 45706 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 427101202605 in words is "four hundred twenty-seven billion, one hundred one million, two hundred two thousand, six hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 67 77 105 121 165 201 231 335 363 385 469 605 737 847 1005 1155 1331 1407 1815 2211 2345 2541 3685 3993 4235 5159 6655 7035 8107 9317 11055 12705 15477 19965 24321 25795 27951 40535 45613 46585 56749 77385 89177 121605 136839 139755 170247 228065 267531 283745 319291 445885 501743 624239 684195 851235 957873 1337655 1505229 1596455 1872717 2508715 3056071 3121195 3512201 4789365 5519173 7526145 9168213 9363585 10536603 15280355 16557519 17561005 21392497 27595865 33616781 38634211 45841065 52683015 60710903 64177491 82787595 100850343 106962485 115902633 168083905 182132709 193171055 235317467 303554515 320887455 369784591 424976321 504251715 579513165 705952401 910663545 1109353773 1176587335 1274928963 1848922955 2124881605 2588492137 3529762005 4067630501 5546768865 6374644815 7765476411 12202891503 12942460685 20338152505 28473413507 38827382055 61014457515 85420240521 142367067535 427101202605