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5868974838496 = 257211357195287
BaseRepresentation
bin101010101100111101000…
…1010010001001011100000
3202210001211221120201001211
41111121322022101023200
51232124130024312441
620252100403035504
71144006445005600
oct125317212211340
922701757521054
105868974838496
111963022324310
127a954396bb94
13337598c7b533
141640ba506c00
15a29eb122a81
hex5567a2912e0

5868974838496 has 144 divisors (see below), whose sum is σ = 14667169571712. Its totient is φ = 2285949254400.

The previous prime is 5868974838487. The next prime is 5868974838499. The reversal of 5868974838496 is 6948384798685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5868974838499) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 61544965 + ... + 61640251.

It is an arithmetic number, because the mean of its divisors is an integer number (101855344248).

Almost surely, 25868974838496 is an apocalyptic number.

5868974838496 is a gapful number since it is divisible by the number (56) 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 5868974838496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333584785856).

5868974838496 is an abundant number, since it is smaller than the sum of its proper divisors (8798194733216).

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

5868974838496 is a wasteful number, since it uses less digits than its factorization.

5868974838496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98893 (or 98878 counting only the distinct ones).

The product of its digits is 20065812480, while the sum is 85.

The spelling of 5868974838496 in words is "five trillion, eight hundred sixty-eight billion, nine hundred seventy-four million, eight hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 3571 4312 7142 8624 14284 17248 24997 28568 39281 49994 57136 78562 95287 99988 114272 157124 174979 190574 199976 274967 314248 349958 381148 399952 549934 628496 667009 699916 762296 799904 1048157 1099868 1256992 1334018 1399832 1524592 1924769 2096314 2199736 2668036 2799664 3049184 3849538 4192628 4399472 4669063 5336072 5599328 7337099 7699076 8385256 8798944 9338126 10672144 14674198 15398152 16770512 18676252 21344288 29348396 30796304 33541024 37352504 51359693 58696792 61592608 74705008 102719386 117393584 149410016 205438772 234787168 340269877 410877544 680539754 821755088 1361079508 1643510176 2381889139 2722159016 3742968647 4763778278 5444318032 7485937294 9527556556 10888636064 14971874588 16673223973 19055113112 26200780529 29943749176 33346447946 38110226224 52401561058 59887498352 66692895892 76220452448 104803122116 119774996704 133385791784 183405463703 209606244232 266771583568 366810927406 419212488464 533543167136 733621854812 838424976928 1467243709624 2934487419248 5868974838496