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58113641425408 = 293159160938569
BaseRepresentation
bin11010011011010101000101…
…11101000010101000000000
321121202121110120221012221221
431031222202331002220000
530104113214201103113
6323333012135324424
715145400131545412
oct1515524275025000
9247677416835857
1058113641425408
1117575947624218
126626990b20714
13265712906970a
14104ca029209b2
156aba0871398d
hex34daa2f42a00

58113641425408 has 160 divisors (see below), whose sum is σ = 121969818432000. Its totient is φ = 27625005711360.

The previous prime is 58113641425351. The next prime is 58113641425417. The reversal of 58113641425408 is 80452414631185.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1506725548 + ... + 1506764116.

It is an arithmetic number, because the mean of its divisors is an integer number (762311365200).

Almost surely, 258113641425408 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 58113641425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60984909216000).

58113641425408 is an abundant number, since it is smaller than the sum of its proper divisors (63856177006592).

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

58113641425408 is a wasteful number, since it uses less digits than its factorization.

58113641425408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40286 (or 40270 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 58113641425408 in words is "fifty-eight trillion, one hundred thirteen billion, six hundred forty-one million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 128 236 248 256 472 496 512 944 992 1609 1829 1888 1984 3218 3658 3776 3968 6436 7316 7552 7936 12872 14632 15104 15872 25744 29264 30208 38569 49879 51488 58528 77138 94931 99758 102976 117056 154276 189862 199516 205952 234112 308552 379724 399032 411904 468224 617104 759448 798064 823808 936448 1195639 1234208 1518896 1596128 2275571 2391278 2468416 2942861 3037792 3192256 4551142 4782556 4936832 5885722 6075584 6384512 9102284 9565112 9873664 11771444 12151168 12769024 18204568 19130224 19747328 23542888 24302336 25538048 36409136 38260448 47085776 48604672 62057521 70542701 72818272 76520896 94171552 124115042 141085402 145636544 153041792 188343104 248230084 282170804 291273088 306083584 376686208 496460168 564341608 582546176 612167168 753372416 992920336 1128683216 1165092352 1506744832 1923783151 1985840672 2257366432 3661393739 3847566302 3971681344 4514732864 7322787478 7695132604 7943362688 9029465728 14645574956 15390265208 15886725376 18058931456 29291149912 30780530416 31773450752 36117862912 58582299824 61561060832 113503205909 117164599648 123122121664 227006411818 234329199296 246244243328 454012823636 468658398592 492488486656 908025647272 937316797184 984976973312 1816051294544 1874633594368 3632102589088 7264205178176 14528410356352 29056820712704 58113641425408