Search a number
-
+
58868231803400 = 23527111353365159
BaseRepresentation
bin11010110001010010101000…
…00010111001001000001000
321201102202012021212011010102
431120221110002321020020
530203444114320202100
6325111405314104532
715254042443124045
oct1530512402711010
9251382167764112
1058868231803400
1117836971185888
12672908387b148
1326b03342a4b66
14107734806a1cc
156c1470152cd5
hex358a540b9208

58868231803400 has 96 divisors (see below), whose sum is σ = 138808971907200. Its totient is φ = 23213532249600.

The previous prime is 58868231803313. The next prime is 58868231803421. The reversal of 58868231803400 is 430813286885.

It is a happy number.

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, 161030021 + ... + 161395179.

It is an arithmetic number, because the mean of its divisors is an integer number (1445926790700).

Almost surely, 258868231803400 is an apocalyptic number.

58868231803400 is a gapful number since it is divisible by the number (50) 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 58868231803400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69404485953600).

58868231803400 is an abundant number, since it is smaller than the sum of its proper divisors (79940740103800).

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

58868231803400 is a wasteful number, since it uses less digits than its factorization.

58868231803400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376599 (or 376590 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 58868231803400 in words is "fifty-eight trillion, eight hundred sixty-eight billion, two hundred thirty-one million, eight hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 11353 14200 22706 45412 56765 90824 113530 227060 283825 365159 454120 567650 730318 806063 1135300 1460636 1612126 1825795 2270600 2921272 3224252 3651590 4030315 6448504 7303180 8060630 9128975 14606360 16121260 18257950 20151575 25926289 32242520 36515900 40303150 51852578 73031800 80606300 103705156 129631445 161212600 207410312 259262890 518525780 648157225 1037051560 1296314450 2592628900 4145650127 5185257800 8291300254 16582600508 20728250635 33165201016 41456501270 82913002540 103641253175 165826005080 207282506350 294341159017 414565012700 588682318034 829130025400 1177364636068 1471705795085 2354729272136 2943411590170 5886823180340 7358528975425 11773646360680 14717057950850 29434115901700 58868231803400