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4947446824668 = 223517417302677
BaseRepresentation
bin100011111111110101011…
…0011110111111011011100
3122111222020002001012200000
41013333222303313323130
51122024332341342133
614304454203334300
71020304226066415
oct107775263677334
918458202035600
104947446824668
111638222831057
1267aa21b21390
1329b70839760a
14131659d2280c
1588a63b4a413
hex47feacf7edc

4947446824668 has 144 divisors (see below), whose sum is σ = 14067060999264. Its totient is φ = 1514282895360.

The previous prime is 4947446824643. The next prime is 4947446824669. The reversal of 4947446824668 is 8664286447494.

4947446824668 is a `hidden beast` number, since 4 + 9 + 4 + 7 + 446 + 82 + 46 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4947446824596 and 4947446824605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4947446824669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2973855 + ... + 4328822.

It is an arithmetic number, because the mean of its divisors is an integer number (97687923606).

Almost surely, 24947446824668 is an apocalyptic number.

It is an amenable number.

4947446824668 is an abundant number, since it is smaller than the sum of its proper divisors (9119614174596).

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

4947446824668 is a wasteful number, since it uses less digits than its factorization.

4947446824668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7302754 (or 7302740 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 72.

The spelling of 4947446824668 in words is "four trillion, nine hundred forty-seven billion, four hundred forty-six million, eight hundred twenty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 102 108 123 153 162 164 204 243 246 306 324 369 459 486 492 612 697 738 918 972 1107 1377 1394 1476 1836 2091 2214 2754 2788 3321 4131 4182 4428 5508 6273 6642 8262 8364 9963 12546 13284 16524 18819 19926 25092 37638 39852 56457 75276 112914 169371 225828 338742 677484 7302677 14605354 21908031 29210708 43816062 65724093 87632124 124145509 131448186 197172279 248291018 262896372 299409757 372436527 394344558 496582036 591516837 598819514 744873054 788689116 898229271 1117309581 1183033674 1197639028 1489746108 1774550511 1796458542 2234619162 2366067348 2694687813 3351928743 3549101022 3592917084 4469238324 5089965869 5389375626 6703857486 7098202044 8084063439 10055786229 10179931738 10778751252 13407714972 15269897607 16168126878 20111572458 20359863476 24252190317 30167358687 30539795214 32336253756 40223144916 45809692821 48504380634 60334717374 61079590428 72756570951 91619385642 97008761268 120669434748 137429078463 145513141902 183238771284 274858156926 291026283804 412287235389 549716313852 824574470778 1236861706167 1649148941556 2473723412334 4947446824668