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6351034161664 = 2973520932621
BaseRepresentation
bin101110001101011011100…
…1000101001101000000000
3211111011010111020121101001
41130122313020221220000
51313023404221133124
621301342543221344
71223563355441053
oct134326710515000
924434114217331
106351034161664
112029505238765
12866a585a7854
13370b912698aa
1417d56ab42a9a
15b0311bb9b44
hex5c6b7229a00

6351034161664 has 80 divisors (see below), whose sum is σ = 12866358855240. Its totient is φ = 3131319582720.

The previous prime is 6351034161643. The next prime is 6351034161673. The reversal of 6351034161664 is 4661614301536.

It can be written as a sum of positive squares in 4 ways, for example, as 6349996806400 + 1037355264 = 2519920^2 + 32208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194675274 + ... + 194707894.

Almost surely, 26351034161664 is an apocalyptic number.

6351034161664 is a gapful number since it is divisible by the number (64) 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 6351034161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433179427620).

6351034161664 is an abundant number, since it is smaller than the sum of its proper divisors (6515324693576).

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

6351034161664 is an equidigital number, since it uses as much as digits as its factorization.

6351034161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37921 (or 37905 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 6351034161664 in words is "six trillion, three hundred fifty-one billion, thirty-four million, one hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1168 2336 4672 5209 9344 10418 18688 20836 32621 37376 41672 65242 83344 130484 166688 260968 333376 380257 521936 666752 760514 1043872 1333504 1521028 2087744 2381333 2667008 3042056 4175488 4762666 6084112 8350976 9525332 12168224 16701952 19050664 24336448 38101328 48672896 76202656 97345792 152405312 169922789 194691584 304810624 339845578 609621248 679691156 1219242496 1359382312 2718764624 5437529248 10875058496 12404363597 21750116992 24808727194 43500233984 49617454388 87000467968 99234908776 198469817552 396939635104 793879270208 1587758540416 3175517080832 6351034161664