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427266666662724 = 223272613395129957
BaseRepresentation
bin110000100100110001100010…
…1111001000000101101000100
32002000211021221122001122102200
41201021203011321000231010
5422000314113131201344
64112415332534434500
7155665666210320600
oct14111430571005504
92060737848048380
10427266666662724
1111415a85956a649
123bb07186202a30
13154540c613b5a5
147771b61c1c500
15345e2be7ad069
hex18498c5e40b44

427266666662724 has 108 divisors (see below), whose sum is σ = 1258417002577644. Its totient is φ = 121877044668288.

The previous prime is 427266666662711. The next prime is 427266666662743.

427266666662724 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 19154347458624 + 408112319204100 = 4376568^2 + 20201790^2 .

It is a super-2 number, since 2×4272666666627242 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196483647 + ... + 198646310.

Almost surely, 2427266666662724 is an apocalyptic number.

It is an amenable number.

427266666662724 is an abundant number, since it is smaller than the sum of its proper divisors (831150335914920).

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

427266666662724 is a wasteful number, since it uses less digits than its factorization.

427266666662724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395130594 (or 395130582 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 72.

The spelling of 427266666662724 in words is "four hundred twenty-seven trillion, two hundred sixty-six billion, six hundred sixty-six million, six hundred sixty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 613 882 1226 1764 1839 2452 3678 4291 5517 7356 8582 11034 12873 17164 22068 25746 30037 38619 51492 60074 77238 90111 120148 154476 180222 270333 360444 540666 1081332 395129957 790259914 1185389871 1580519828 2370779742 2765909699 3556169613 4741559484 5531819398 7112339226 8297729097 11063638796 14224678452 16595458194 19361367893 24893187291 33190916388 38722735786 49786374582 58084103679 77445471572 99572749164 116168207358 174252311037 232336414716 242214663641 348504622074 484429327282 697009244148 726643990923 968858654564 1453287981846 1695502645487 2179931972769 2906575963692 3391005290974 4359863945538 5086507936461 6782010581948 8719727891076 10173015872922 11868518518409 15259523809383 20346031745844 23737037036818 30519047618766 35605555555227 47474074073636 61038095237532 71211111110454 106816666665681 142422222220908 213633333331362 427266666662724