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6073616473216 = 27178533272197
BaseRepresentation
bin101100001100001111111…
…0000001001110010000000
3210111122001202220212101021
41120120133300021302000
51244002231304120331
620530103023315224
71164542610132415
oct130303760116200
923448052825337
106073616473216
111a31896184366
12821135a4bb14
1335097cb04616
1416dd70c4210c
15a7ec6d11211
hex5861fc09c80

6073616473216 has 64 divisors (see below), whose sum is σ = 12826558052280. Its totient is φ = 2854820855808.

The previous prime is 6073616473213. The next prime is 6073616473217. The reversal of 6073616473216 is 6123746163706.

It can be written as a sum of positive squares in 4 ways, for example, as 5658499137600 + 415117335616 = 2378760^2 + 644296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6073616473213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220030 + ... + 3492226.

Almost surely, 26073616473216 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 6073616473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413279026140).

6073616473216 is an abundant number, since it is smaller than the sum of its proper divisors (6752941579064).

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

6073616473216 is a wasteful number, since it uses less digits than its factorization.

6073616473216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273081 (or 3273069 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 52.

The spelling of 6073616473216 in words is "six trillion, seventy-three billion, six hundred sixteen million, four hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 853 1088 1706 2176 3412 6824 13648 14501 27296 29002 54592 58004 109184 116008 232016 464032 928064 1856128 3272197 6544394 13088788 26177576 52355152 55627349 104710304 111254698 209420608 222509396 418841216 445018792 890037584 1780075168 2791184041 3560150336 5582368082 7120300672 11164736164 22329472328 44658944656 47450128697 89317889312 94900257394 178635778624 189800514788 357271557248 379601029576 759202059152 1518404118304 3036808236608 6073616473216