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486820367616 = 2831171811627
BaseRepresentation
bin1110001010110001100…
…00010100110100000000
31201112120100102000110210
413011120300110310000
530434002003230431
61011350413554120
750112601564212
oct7053060246400
91645510360423
10486820367616
11178506451630
127a4231a5940
1336ba37a362b
14197c2a985b2
15c9e3a4bd46
hex7158c14d00

486820367616 has 144 divisors (see below), whose sum is σ = 1433348034048. Its totient is φ = 145443379200.

The previous prime is 486820367611. The next prime is 486820367651. The reversal of 486820367616 is 616763028684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486820367611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193995 + ... + 1005621.

It is an arithmetic number, because the mean of its divisors is an integer number (9953805792).

Almost surely, 2486820367616 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 486820367616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716674017024).

486820367616 is an abundant number, since it is smaller than the sum of its proper divisors (946527666432).

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

486820367616 is a wasteful number, since it uses less digits than its factorization.

486820367616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811728 (or 811714 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 486820367616 in words is "four hundred eighty-six billion, eight hundred twenty million, three hundred sixty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 128 132 142 176 192 213 256 264 284 352 384 426 528 568 704 768 781 852 1056 1136 1408 1562 1704 2112 2272 2343 2816 3124 3408 4224 4544 4686 6248 6816 8448 9088 9372 12496 13632 18176 18744 24992 27264 37488 49984 54528 74976 99968 149952 199936 299904 599808 811627 1623254 2434881 3246508 4869762 6493016 8927897 9739524 12986032 17855794 19479048 25972064 26783691 35711588 38958096 51944128 53567382 57625517 71423176 77916192 103888256 107134764 115251034 142846352 155832384 172876551 207776512 214269528 230502068 285692704 311664768 345753102 428539056 461004136 571385408 623329536 633880687 691506204 857078112 922008272 1142770816 1267761374 1383012408 1714156224 1844016544 1901642061 2285541632 2535522748 2766024816 3428312448 3688033088 3803284122 5071045496 5532049632 6856624896 7376066176 7606568244 10142090992 11064099264 14752132352 15213136488 20284181984 22128198528 30426272976 40568363968 44256397056 60852545952 81136727936 121705091904 162273455872 243410183808 486820367616