Search a number
-
+
58616725024 = 25112132115519
BaseRepresentation
bin110110100101110101…
…000011111000100000
312121022002201011012201
4312211311003320200
51430021340200044
642532251502544
74143401641024
oct664565037040
9177262634181
1058616725024
112294a682100
12b43a757a54
1356b1cb62a0
142ba0c96384
1517d10b37d4
hexda5d43e20

58616725024 has 144 divisors (see below), whose sum is σ = 137276173440. Its totient is φ = 24473433600.

The previous prime is 58616725001. The next prime is 58616725043. The reversal of 58616725024 is 42052761685.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10618137 + ... + 10623655.

It is an arithmetic number, because the mean of its divisors is an integer number (953306760).

Almost surely, 258616725024 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 58616725024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68638086720).

58616725024 is an abundant number, since it is smaller than the sum of its proper divisors (78659448416).

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

58616725024 is a wasteful number, since it uses less digits than its factorization.

58616725024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 58616725024 in words is "fifty-eight billion, six hundred sixteen million, seven hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 211 242 286 352 416 422 484 572 844 968 1144 1573 1688 1936 2288 2321 2743 3146 3376 3872 4576 4642 5486 5519 6292 6752 9284 10972 11038 12584 18568 21944 22076 25168 25531 30173 37136 43888 44152 50336 51062 60346 60709 71747 74272 87776 88304 102124 120692 121418 143494 176608 204248 241384 242836 286988 331903 408496 482768 485672 573976 663806 667799 789217 816992 965536 971344 1147952 1164509 1327612 1335598 1578434 1942688 2295904 2329018 2655224 2671196 3156868 4658036 5310448 5342392 6313736 8681387 9316072 10620896 10684784 12627472 12809599 15138617 17362774 18632144 21369568 25254944 25619198 30277234 34725548 37264288 51238396 60554468 69451096 102476792 121108936 138902192 140905589 166524787 204953584 242217872 277804384 281811178 333049574 409907168 484435744 563622356 666099148 1127244712 1332198296 1831772657 2254489424 2664396592 3663545314 4508978848 5328793184 7327090628 14654181256 29308362512 58616725024