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5338579718144 = 2128393716759
BaseRepresentation
bin100110110101111110000…
…1001011101000000000000
3200220100210210120220020002
41031223330021131000000
51144431402401440034
615204302030535132
71060461660611051
oct115537411350000
920810723526202
105338579718144
111779096090042
1272279b6674a8
132c956c94515a
141465625c4728
1593d06d67e7e
hex4dafc25d000

5338579718144 has 104 divisors (see below), whose sum is σ = 10816657158720. Its totient is φ = 2634158112768.

The previous prime is 5338579718107. The next prime is 5338579718149. The reversal of 5338579718144 is 4418179758335.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5338579718149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318541637 + ... + 318558395.

Almost surely, 25338579718144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5338579718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408328579360).

5338579718144 is an abundant number, since it is smaller than the sum of its proper divisors (5478077440576).

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

5338579718144 is an equidigital number, since it uses as much as digits as its factorization.

5338579718144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17803 (or 17781 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 65.

The spelling of 5338579718144 in words is "five trillion, three hundred thirty-eight billion, five hundred seventy-nine million, seven hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 937 1024 1328 1874 2048 2656 3748 4096 5312 7496 10624 14992 16759 21248 29984 33518 42496 59968 67036 77771 84992 119936 134072 155542 169984 239872 268144 311084 339968 479744 536288 622168 959488 1072576 1244336 1390997 1918976 2145152 2488672 2781994 3837952 4290304 4977344 5563988 8580608 9954688 11127976 15703183 17161216 19909376 22255952 31406366 34322432 39818752 44511904 62812732 68644864 79637504 89023808 125625464 159275008 178047616 251250928 318550016 356095232 502501856 712190464 1005003712 1303364189 1424380928 2010007424 2606728378 2848761856 4020014848 5213456756 5697523712 8040029696 10426913512 16080059392 20853827024 32160118784 41707654048 64320237568 83415308096 166830616192 333661232384 667322464768 1334644929536 2669289859072 5338579718144