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248230005120 = 27325311390177
BaseRepresentation
bin1110011100101110101…
…0010100100110000000
3212201201120112210121100
43213023222110212000
513031333340130440
6310011342254400
723635241141556
oct3471352244600
9781646483540
10248230005120
1196301403969
1240137887400
131a53c476246
14c02b709bd6
1566cc73b230
hex39cba94980

248230005120 has 192 divisors, whose sum is σ = 884820493440. Its totient is φ = 64059310080.

The previous prime is 248230005113. The next prime is 248230005139. The reversal of 248230005120 is 21500032842.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent 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, 516529 + ... + 873648.

It is an arithmetic number, because the mean of its divisors is an integer number (4608440070).

Almost surely, 2248230005120 is an apocalyptic number.

248230005120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248230005120 is an abundant number, since it is smaller than the sum of its proper divisors (636590488320).

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

248230005120 is a wasteful number, since it uses less digits than its factorization.

248230005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390233 (or 1390218 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 248230005120 its reverse (21500032842), we get a palindrome (269730037962).

The spelling of 248230005120 in words is "two hundred forty-eight billion, two hundred thirty million, five thousand, one hundred twenty".