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48823988511408 = 243111031575718241
BaseRepresentation
bin10110001100111101110000…
…11111011110001010110000
320101212112020201001210110220
423012132320133132022300
522344413012024331113
6251501233005453040
713166262643616115
oct1306367037361260
9211775221053426
1048823988511408
1114614156748740
1255864bab71180
13213210bc41326
14c0b144da890c
1559a055e46523
hex2c67b87de2b0

48823988511408 has 160 divisors (see below), whose sum is σ = 139815682985472. Its totient is φ = 14558181580800.

The previous prime is 48823988511377. The next prime is 48823988511421. The reversal of 48823988511408 is 80411588932884.

It is a super-2 number, since 2×488239885114082 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5679168 + ... + 11397408.

Almost surely, 248823988511408 is an apocalyptic number.

48823988511408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48823988511408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69907841492736).

48823988511408 is an abundant number, since it is smaller than the sum of its proper divisors (90991694474064).

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

48823988511408 is a wasteful number, since it uses less digits than its factorization.

48823988511408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718523 (or 5718517 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 69.

The spelling of 48823988511408 in words is "forty-eight trillion, eight hundred twenty-three billion, nine hundred eighty-eight million, five hundred eleven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 157 176 206 264 309 314 412 471 528 618 628 824 942 1133 1236 1256 1648 1727 1884 2266 2472 2512 3399 3454 3768 4532 4944 5181 6798 6908 7536 9064 10362 13596 13816 16171 18128 20724 27192 27632 32342 41448 48513 54384 64684 82896 97026 129368 177881 194052 258736 355762 388104 533643 711524 776208 1067286 1423048 2134572 2846096 4269144 5718241 8538288 11436482 17154723 22872964 34309446 45745928 62900651 68618892 91491856 125801302 137237784 188701953 251602604 274475568 377403906 503205208 588978823 754807812 897763837 1006410416 1177957646 1509615624 1766936469 1795527674 2355915292 2693291511 3019231248 3533872938 3591055348 4711830584 5386583022 6478767053 7067745876 7182110696 9423661168 9875402207 10773166044 12957534106 14135491752 14364221392 19436301159 19750804414 21546332088 25915068212 28270983504 29626206621 38872602318 39501608828 43092664176 51830136424 59252413242 77745204636 79003217656 92469675211 103660272848 118504826484 155490409272 158006435312 184939350422 237009652968 277409025633 310980818544 369878700844 474019305936 554818051266 739757401688 1017166427321 1109636102532 1479514803376 2034332854642 2219272205064 3051499281963 4068665709284 4438544410128 6102998563926 8137331418568 12205997127852 16274662837136 24411994255704 48823988511408